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10557144 = 23321311279
BaseRepresentation
bin101000010001…
…011011011000
3201212100200100
4220101123120
510200312034
61014135400
7155506563
oct50213330
921770610
1010557144
115a60814
123651560
132258340
14158b4da
15dd8099
hexa116d8

10557144 has 48 divisors (see below), whose sum is σ = 30794400. Its totient is φ = 3248064.

The previous prime is 10557139. The next prime is 10557163. The reversal of 10557144 is 44175501.

It is a happy number.

It is a super-2 number, since 2×105571442 = 222906578873472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4704 + ... + 6575.

It is an arithmetic number, because the mean of its divisors is an integer number (641550).

Almost surely, 210557144 is an apocalyptic number.

It is an amenable number.

10557144 is an abundant number, since it is smaller than the sum of its proper divisors (20237256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10557144 is a wasteful number, since it uses less digits than its factorization.

10557144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 10557144 is about 3249.1758955157. The cubic root of 10557144 is about 219.3724817691.

It can be divided in two parts, 10557 and 144, that added together give a palindrome (10701).

The spelling of 10557144 in words is "ten million, five hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11279 22558 33837 45116 67674 90232 101511 135348 146627 203022 270696 293254 406044 439881 586508 812088 879762 1173016 1319643 1759524 2639286 3519048 5278572 10557144