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156270132 = 22323124517
BaseRepresentation
bin10010101000001…
…11111000110100
3101220001100022200
421110013320310
5310001121012
623301224500
73605163024
oct1124077064
9356040280
10156270132
1180235077
1244402130
13264b5b45
1416a7ba84
15dabc3dc
hex9507e34

156270132 has 54 divisors (see below), whose sum is σ = 408260034. Its totient is φ = 50398560.

The previous prime is 156270131. The next prime is 156270161. The reversal of 156270132 is 231072651.

It is a happy number.

156270132 is a `hidden beast` number, since 1 + 5 + 627 + 0 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 73205136 = 9114^2 + 8556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 156270096 and 156270105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156270131) 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 17 ways as a sum of consecutive naturals, for example, 32338 + ... + 36854.

It is an arithmetic number, because the mean of its divisors is an integer number (7560371).

Almost surely, 2156270132 is an apocalyptic number.

156270132 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 156270132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204130017).

156270132 is an abundant number, since it is smaller than the sum of its proper divisors (251989902).

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

156270132 is a wasteful number, since it uses less digits than its factorization.

156270132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 156270132 is about 12500.8052540626. The cubic root of 156270132 is about 538.6318038234.

The spelling of 156270132 in words is "one hundred fifty-six million, two hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 4517 5766 8649 9034 11532 13551 17298 18068 27102 34596 40653 54204 81306 140027 162612 280054 420081 560108 840162 1260243 1680324 2520486 4340837 5040972 8681674 13022511 17363348 26045022 39067533 52090044 78135066 156270132