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157116804 = 223133153613
BaseRepresentation
bin10010101110101…
…10100110000100
3101221122100201220
421113112212010
5310210214204
623331320340
73615320325
oct1127264604
9357570656
10157116804
11807631a9
12447500b0
1326721330
1416c1c44c
15dbd81d9
hex95d6984

157116804 has 96 divisors (see below), whose sum is σ = 415908864. Its totient is φ = 45826560.

The previous prime is 157116787. The next prime is 157116811. The reversal of 157116804 is 408611751.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 256002 + ... + 256614.

It is an arithmetic number, because the mean of its divisors is an integer number (4332384).

Almost surely, 2157116804 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 157116804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207954432).

157116804 is an abundant number, since it is smaller than the sum of its proper divisors (258792060).

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

157116804 is a wasteful number, since it uses less digits than its factorization.

157116804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 157116804 is about 12534.6242065728. The cubic root of 157116804 is about 539.6028217956.

The spelling of 157116804 in words is "one hundred fifty-seven million, one hundred sixteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 53 62 78 93 106 124 156 159 186 212 318 372 403 613 636 689 806 1209 1226 1378 1612 1643 1839 2067 2418 2452 2756 3286 3678 4134 4836 4929 6572 7356 7969 8268 9858 15938 19003 19716 21359 23907 31876 32489 38006 42718 47814 57009 64077 64978 76012 85436 95628 97467 114018 128154 129956 194934 228036 247039 256308 389868 422357 494078 741117 844714 988156 1007159 1267071 1482234 1689428 2014318 2534142 2964468 3021477 4028636 5068284 6042954 12085908 13093067 26186134 39279201 52372268 78558402 157116804