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157379868 = 223329109461
BaseRepresentation
bin10010110000101…
…10110100011100
3101222010201121000
421120112310130
5310242123433
623341110300
73620464302
oct1130266434
9358121530
10157379868
1180922908
1244858390
13267b3ca9
1416c8a272
15dc3b113
hex9616d1c

157379868 has 96 divisors (see below), whose sum is σ = 426888000. Its totient is φ = 50077440.

The previous prime is 157379749. The next prime is 157379879. The reversal of 157379868 is 868973751.

157379868 is a `hidden beast` number, since 1 + 573 + 7 + 9 + 8 + 68 = 666.

157379868 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341158 + ... + 341618.

It is an arithmetic number, because the mean of its divisors is an integer number (4446750).

Almost surely, 2157379868 is an apocalyptic number.

157379868 is a gapful number since it is divisible by the number (18) 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 157379868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444000).

157379868 is an abundant number, since it is smaller than the sum of its proper divisors (269508132).

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

157379868 is a wasteful number, since it uses less digits than its factorization.

157379868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 157379868 is about 12545.1133115648. The cubic root of 157379868 is about 539.9038100272.

The spelling of 157379868 in words is "one hundred fifty-seven million, three hundred seventy-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 109 116 174 218 261 327 348 436 461 522 654 783 922 981 1044 1308 1383 1566 1844 1962 2766 2943 3132 3161 3924 4149 5532 5886 6322 8298 9483 11772 12447 12644 13369 16596 18966 24894 26738 28449 37932 40107 49788 50249 53476 56898 80214 85347 100498 113796 120321 150747 160428 170694 200996 240642 301494 341388 360963 452241 481284 602988 721926 904482 1356723 1443852 1457221 1808964 2713446 2914442 4371663 5426892 5828884 8743326 13114989 17486652 26229978 39344967 52459956 78689934 157379868