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157430560 = 25572937131
BaseRepresentation
bin10010110001000…
…11001100100000
3101222020022010111
421120203030200
5310300234220
623342141104
73621065140
oct1130431440
9358208114
10157430560
1180957a01
1244881794
13268010a1
1416ca0920
15dc4b15a
hex9623320

157430560 has 192 divisors, whose sum is σ = 455051520. Its totient is φ = 50319360.

The previous prime is 157430543. The next prime is 157430563. The reversal of 157430560 is 65034751.

157430560 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 (157430563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201695 + ... + 1201825.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2157430560 is an apocalyptic number.

157430560 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 157430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

157430560 is an abundant number, since it is smaller than the sum of its proper divisors (297620960).

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

157430560 is a wasteful number, since it uses less digits than its factorization.

157430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 157430560 is about 12547.1335371869. The cubic root of 157430560 is about 539.9617714135.

The spelling of 157430560 in words is "one hundred fifty-seven million, four hundred thirty thousand, five hundred sixty".