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157530060 = 223256114347
BaseRepresentation
bin10010110001110…
…11011111001100
3101222102100121200
421120323133030
5310311430220
623344225500
73621661212
oct1130733714
9358370550
10157530060
1180a15736
124490b290
132683746c
1416cc8cb2
15dc6a890
hex963b7cc

157530060 has 72 divisors (see below), whose sum is σ = 485708496. Its totient is φ = 41316480.

The previous prime is 157530049. The next prime is 157530067. The reversal of 157530060 is 60035751.

157530060 is a `hidden beast` number, since 1 + 575 + 30 + 0 + 60 = 666.

157530060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157530067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807 + ... + 18153.

Almost surely, 2157530060 is an apocalyptic number.

157530060 is a gapful number since it is divisible by the number (10) 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 157530060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242854248).

157530060 is an abundant number, since it is smaller than the sum of its proper divisors (328178436).

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

157530060 is a wasteful number, since it uses less digits than its factorization.

157530060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14423 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 157530060 is about 12551.0979599396. The cubic root of 157530060 is about 540.0755038457.

The spelling of 157530060 in words is "one hundred fifty-seven million, five hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 14347 28694 43041 57388 71735 86082 129123 143470 172164 215205 258246 286940 430410 516492 645615 860820 875167 1291230 1750334 2582460 2625501 3500668 4375835 5251002 7876503 8751670 10502004 13127505 15753006 17503340 26255010 31506012 39382515 52510020 78765030 157530060