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157630536 = 23347193159
BaseRepresentation
bin10010110010101…
…00000001001000
3101222121110110000
421121110001020
5310323134121
623350323000
73622560150
oct1131240110
9358543400
10157630536
1180a84178
1244959460
132687110b
1416d13760
15dc8a526
hex9654048

157630536 has 320 divisors, whose sum is σ = 557568000. Its totient is φ = 40590720.

The previous prime is 157630531. The next prime is 157630541. The reversal of 157630536 is 635036751.

It is a happy number.

157630536 is a `hidden beast` number, since 1 + 576 + 30 + 53 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (157630531) and next prime (157630541).

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

It is a self number, because there is not a number n which added to its sum of digits gives 157630536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157630531) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2671675 + ... + 2671733.

It is an arithmetic number, because the mean of its divisors is an integer number (1742400).

Almost surely, 2157630536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157630536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278784000).

157630536 is an abundant number, since it is smaller than the sum of its proper divisors (399937464).

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

157630536 is a wasteful number, since it uses less digits than its factorization.

157630536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 157630536 is about 12555.0999996018. The cubic root of 157630536 is about 540.1903032970.

The spelling of 157630536 in words is "one hundred fifty-seven million, six hundred thirty thousand, five hundred thirty-six".