Math, asked by hemyasheth12, 10 months ago

THE SMALLEST NUMBER THAT CAN BE DIVIDED EXACTLY BY ALL THE NUMBER 1 TO 10 with method ​

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Answered by Anonymous
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2520 (two thousand five hundred twenty) is the natural number following 2519 and preceding 2521.

← 2519 2520 2521 →

List of numbers — Integers

← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →

Cardinal

two thousand five hundred twenty

Ordinal

2520th

(two thousand five hundred twentieth)

Factorization

23 × 32 × 5 × 7

Greek numeral

,ΒΦΚ´

Roman numeral

MMDXX

Binary

1001110110002

Ternary

101101003

Quaternary

2131204

Quinary

400405

Senary

154006

Octal

47308

Duodecimal

156012

Hexadecimal

9D816

Vigesimal

66020

Base 36

1Y036

In mathematics Edit

2520 is:

the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple.

half of 7! (5040), meaning 7 factorial, or 1×2×3×4×5×6×7.

the product of five consecutive numbers, namely 3×4×5×6×7.

a superior highly composite number.

a colossally abundant number.

the last highly composite number which is half of the next highly composite number.[1]

the last highly composite number that is a divisor of all following highly composite numbers.[2]

palindromic in bases 11 (199111), and a repdigit in bases 55, 59 and 62.

a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 and 16.

the aliquot sum of 1080.

part of the 53-aliquot tree. The complete aliquot sequence starting at 1080 is: 1080, 2520, 6840, 16560, 41472, 82311, 27441, 12209, 451, 53, 1, 0.

Factors Edit

The factors, also called divisors, of 2520 are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.[3]

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