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86137960 = 2352153449
BaseRepresentation
bin1010010001001…
…01110001101000
320000002021001211
411020211301220
5134022403320
612314122504
72064106036
oct510456150
9200067054
1086137960
11446937a7
1224a20434
1314acc10c
14b623556
15786755a
hex5225c68

86137960 has 16 divisors (see below), whose sum is σ = 193810500. Its totient is φ = 34455168.

The previous prime is 86137957. The next prime is 86137969. The reversal of 86137960 is 6973168.

It can be written as a sum of positive squares in 2 ways, for example, as 81324324 + 4813636 = 9018^2 + 2194^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2153449 = 86137960 / (8 + 6 + 1 + 3 + 7 + 9 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (86137969) 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 3 ways as a sum of consecutive naturals, for example, 1076685 + ... + 1076764.

Almost surely, 286137960 is an apocalyptic number.

It is an amenable number.

86137960 is an abundant number, since it is smaller than the sum of its proper divisors (107672540).

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

86137960 is a wasteful number, since it uses less digits than its factorization.

86137960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153460 (or 2153456 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 86137960 is about 9281.0538194755. The cubic root of 86137960 is about 441.6363996505.

The spelling of 86137960 in words is "eighty-six million, one hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2153449 4306898 8613796 10767245 17227592 21534490 43068980 86137960