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156129930 = 237511259
BaseRepresentation
bin10010100111001…
…01101010001010
3101212210020000000
421103211222022
5304432124210
623254223430
73604040205
oct1123455212
9355706000
10156129930
1180149800
1244354b76
1326467098
1416a4293c
15da90ac0
hex94e5a8a

156129930 has 192 divisors, whose sum is σ = 471139200. Its totient is φ = 37208160.

The previous prime is 156129907. The next prime is 156129931. The reversal of 156129930 is 39921651.

156129930 is a `hidden beast` number, since 1 + 5 + 612 + 9 + 9 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156129931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2646241 + ... + 2646299.

It is an arithmetic number, because the mean of its divisors is an integer number (2453850).

Almost surely, 2156129930 is an apocalyptic number.

156129930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 156129930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235569600).

156129930 is an abundant number, since it is smaller than the sum of its proper divisors (315009270).

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

156129930 is an equidigital number, since it uses as much as digits as its factorization.

156129930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 156129930 is about 12495.1962769698. The cubic root of 156129930 is about 538.4706729010.

The spelling of 156129930 in words is "one hundred fifty-six million, one hundred twenty-nine thousand, nine hundred thirty".