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11257428 = 223713361
BaseRepresentation
bin101010111100…
…011001010100
3210011221021210
4222330121110
510340214203
61041141420
7164454330
oct52743124
923157253
1011257428
116399966
12392a870
132442000
1416d07c0
15ec5803
hexabc654

11257428 has 96 divisors (see below), whose sum is σ = 33053440. Its totient is φ = 2920320.

The previous prime is 11257409. The next prime is 11257439. The reversal of 11257428 is 82475211.

11257428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11257395 and 11257404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184518 + ... + 184578.

Almost surely, 211257428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526720).

11257428 is an abundant number, since it is smaller than the sum of its proper divisors (21796012).

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

11257428 is a wasteful number, since it uses less digits than its factorization.

11257428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 11257428 is about 3355.2090843940. The cubic root of 11257428 is about 224.1195418476.

It can be divided in two parts, 1125742 and 8, that added together give a triangular number (1125750 = T1500).

The spelling of 11257428 in words is "eleven million, two hundred fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 61 78 84 91 122 156 169 182 183 244 273 338 364 366 427 507 546 676 732 793 854 1014 1092 1183 1281 1586 1708 2028 2197 2366 2379 2562 3172 3549 4394 4732 4758 5124 5551 6591 7098 8788 9516 10309 11102 13182 14196 15379 16653 20618 22204 26364 30758 30927 33306 41236 46137 61516 61854 66612 72163 92274 123708 134017 144326 184548 216489 268034 288652 402051 432978 536068 804102 865956 938119 1608204 1876238 2814357 3752476 5628714 11257428