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157279104 = 2733172677
BaseRepresentation
bin10010101111111…
…10001110000000
3101221221121101000
421113332032000
5310230412404
623335012000
73616564443
oct1127761600
9357847330
10157279104
1180864134
124480a000
132677a178
1416c6165a
15dc1b339
hex95fe380

157279104 has 128 divisors (see below), whose sum is σ = 491680800. Its totient is φ = 49324032.

The previous prime is 157279103. The next prime is 157279123. The reversal of 157279104 is 401972751.

It is a happy number.

157279104 is a `hidden beast` number, since 1 + 572 + 79 + 10 + 4 = 666.

157279104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157279103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57414 + ... + 60090.

Almost surely, 2157279104 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 157279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245840400).

157279104 is an abundant number, since it is smaller than the sum of its proper divisors (334401696).

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

157279104 is a wasteful number, since it uses less digits than its factorization.

157279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157279104 is about 12541.0966027696. The cubic root of 157279104 is about 539.7885591950.

The spelling of 157279104 in words is "one hundred fifty-seven million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 2677 3264 3456 3672 4896 5354 6528 7344 8031 9792 10708 14688 16062 19584 21416 24093 29376 32124 42832 45509 48186 58752 64248 72279 85664 91018 96372 128496 136527 144558 171328 182036 192744 256992 273054 289116 342656 364072 385488 409581 513984 546108 578232 728144 770976 819162 1027968 1092216 1156464 1228743 1456288 1541952 1638324 2184432 2312928 2457486 2912576 3083904 3276648 4368864 4625856 4914972 5825152 6553296 8737728 9251712 9829944 13106592 17475456 19659888 26213184 39319776 52426368 78639552 157279104