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86072136 = 23313925801
BaseRepresentation
bin1010010000101…
…01101101001000
312222221220202220
411020111231020
5134013302021
612312454040
72063413113
oct510255510
9188856686
1086072136
11446492a7
12249aa320
1314aa8177
14b60757a
157852cc6
hex5215b48

86072136 has 32 divisors (see below), whose sum is σ = 216736800. Its totient is φ = 28483200.

The previous prime is 86072131. The next prime is 86072149. The reversal of 86072136 is 63127068.

It is a junction number, because it is equal to n+sod(n) for n = 86072097 and 86072106.

It is not an unprimeable number, because it can be changed into a prime (86072131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9565 + ... + 16236.

It is an arithmetic number, because the mean of its divisors is an integer number (6773025).

Almost surely, 286072136 is an apocalyptic number.

It is an amenable number.

86072136 is an abundant number, since it is smaller than the sum of its proper divisors (130664664).

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

86072136 is a wasteful number, since it uses less digits than its factorization.

86072136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25949 (or 25945 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 86072136 is about 9277.5069927217. The cubic root of 86072136 is about 441.5238759641.

The spelling of 86072136 in words is "eighty-six million, seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1668 3336 25801 51602 77403 103204 154806 206408 309612 619224 3586339 7172678 10759017 14345356 21518034 28690712 43036068 86072136