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157940460 = 223258271061
BaseRepresentation
bin10010110100111…
…11101011101100
3102000012012120200
421122133223230
5310413043320
623401113500
73625320546
oct1132375354
9360165520
10157940460
1181176007
1244a88890
132694c1c2
1416d94696
15dcec290
hex969faec

157940460 has 72 divisors (see below), whose sum is σ = 480117456. Its totient is φ = 42026880.

The previous prime is 157940459. The next prime is 157940501. The reversal of 157940460 is 64049751.

157940460 is a `hidden beast` number, since 1 + 579 + 40 + 46 + 0 = 666.

It is a super-3 number, since 3×1579404603 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148330 + ... + 149390.

It is an arithmetic number, because the mean of its divisors is an integer number (6668298).

Almost surely, 2157940460 is an apocalyptic number.

157940460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157940460 is an abundant number, since it is smaller than the sum of its proper divisors (322176996).

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

157940460 is a wasteful number, since it uses less digits than its factorization.

157940460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157940460 is about 12567.4364927777. The cubic root of 157940460 is about 540.5441017869.

The spelling of 157940460 in words is "one hundred fifty-seven million, nine hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 827 1061 1654 2122 2481 3183 3308 4135 4244 4962 5305 6366 7443 8270 9549 9924 10610 12405 12732 14886 15915 16540 19098 21220 24810 29772 31830 37215 38196 47745 49620 63660 74430 95490 148860 190980 877447 1754894 2632341 3509788 4387235 5264682 7897023 8774470 10529364 13161705 15794046 17548940 26323410 31588092 39485115 52646820 78970230 157940460