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157330404 = 223371118919
BaseRepresentation
bin10010110000010…
…10101111100100
3101222001012202000
421120022233210
5310234033104
623340045300
73620200140
oct1130125744
9358035660
10157330404
1180899730
1244833830
132679761a
1416c76220
15dc2b639
hex960abe4

157330404 has 96 divisors (see below), whose sum is σ = 508569600. Its totient is φ = 40862880.

The previous prime is 157330399. The next prime is 157330451. The reversal of 157330404 is 404033751.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1144 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (5297600).

Almost surely, 2157330404 is an apocalyptic number.

157330404 is a gapful number since it is divisible by the number (14) 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 157330404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254284800).

157330404 is an abundant number, since it is smaller than the sum of its proper divisors (351239196).

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

157330404 is a wasteful number, since it uses less digits than its factorization.

157330404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 157330404 is about 12543.1417117084. The cubic root of 157330404 is about 539.8472407410.

The spelling of 157330404 in words is "one hundred fifty-seven million, three hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 18919 37838 56757 75676 113514 132433 170271 208109 227028 264866 340542 397299 416218 510813 529732 624327 681084 794598 832436 1021626 1191897 1248654 1456763 1589196 1872981 2043252 2383794 2497308 2913526 3575691 3745962 4370289 4767588 5618943 5827052 7151382 7491924 8740578 11237886 13110867 14302764 17481156 22475772 26221734 39332601 52443468 78665202 157330404