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15428112 = 2437173773
BaseRepresentation
bin111010110110…
…101000010000
31002000211101120
4322312220100
512422144422
61310402240
7245064630
oct72665020
932024346
1015428112
118788407
125200380
13327247b
1420986c0
15154b45c
hexeb6a10

15428112 has 160 divisors (see below), whose sum is σ = 50211072. Its totient is φ = 3981312.

The previous prime is 15428107. The next prime is 15428131. The reversal of 15428112 is 21182451.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211308 + ... + 211380.

Almost surely, 215428112 is an apocalyptic number.

15428112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25105536).

15428112 is an abundant number, since it is smaller than the sum of its proper divisors (34782960).

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

15428112 is a wasteful number, since it uses less digits than its factorization.

15428112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 15428112 is about 3927.8635414179. The cubic root of 15428112 is about 248.9454889463.

The spelling of 15428112 in words is "fifteen million, four hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 37 42 48 51 56 68 73 74 84 102 111 112 119 136 146 148 168 204 219 222 238 259 272 292 296 336 357 408 438 444 476 511 518 584 592 629 714 777 816 876 888 952 1022 1036 1168 1241 1258 1428 1533 1554 1752 1776 1887 1904 2044 2072 2482 2516 2701 2856 3066 3108 3504 3723 3774 4088 4144 4403 4964 5032 5402 5712 6132 6216 7446 7548 8103 8176 8687 8806 9928 10064 10804 12264 12432 13209 14892 15096 16206 17374 17612 18907 19856 21608 24528 26061 26418 29784 30192 32412 34748 35224 37814 43216 45917 52122 52836 56721 59568 64824 69496 70448 75628 91834 104244 105672 113442 129648 137751 138992 151256 183668 208488 211344 226884 275502 302512 321419 367336 416976 453768 551004 642838 734672 907536 964257 1102008 1285676 1928514 2204016 2571352 3857028 5142704 7714056 15428112