Search a number
-
+
157907232 = 25367967
BaseRepresentation
bin10010110100101…
…11100100100000
3102000010112000000
421122113210200
5310411012412
623400300000
73625121640
oct1132274440
9360115000
10157907232
118115304a
1244a71600
132693a042
1416d86520
15dce24dc
hex9697920

157907232 has 168 divisors, whose sum is σ = 533244096. Its totient is φ = 45069696.

The previous prime is 157907221. The next prime is 157907257. The reversal of 157907232 is 232709751.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162813 + ... + 163779.

It is an arithmetic number, because the mean of its divisors is an integer number (3174072).

Almost surely, 2157907232 is an apocalyptic number.

157907232 is a gapful number since it is divisible by the number (12) 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 157907232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266622048).

157907232 is an abundant number, since it is smaller than the sum of its proper divisors (375336864).

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

157907232 is an frugal number, since it uses more digits than its factorization.

157907232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157907232 is about 12566.1144352580. The cubic root of 157907232 is about 540.5061920177.

The spelling of 157907232 in words is "one hundred fifty-seven million, nine hundred seven thousand, two hundred thirty-two".