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86975136 = 2532301997
BaseRepresentation
bin1010010111100…
…10001010100000
320001122210110100
411023302022200
5134231201021
612344102400
72104163553
oct513621240
9201583410
1086975136
1145105786
1225164a00
13150331a1
14b7a069a
157980626
hex52f22a0

86975136 has 36 divisors (see below), whose sum is σ = 247336362. Its totient is φ = 28991616.

The previous prime is 86975131. The next prime is 86975143. The reversal of 86975136 is 63157968.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 2702736 = 9180^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86975091 and 86975100.

It is not an unprimeable number, because it can be changed into a prime (86975131) 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 5 ways as a sum of consecutive naturals, for example, 150711 + ... + 151286.

Almost surely, 286975136 is an apocalyptic number.

It is an amenable number.

86975136 is an abundant number, since it is smaller than the sum of its proper divisors (160361226).

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

86975136 is a wasteful number, since it uses less digits than its factorization.

86975136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302013 (or 302002 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 86975136 is about 9326.0461075420. The cubic root of 86975136 is about 443.0625460524.

The spelling of 86975136 in words is "eighty-six million, nine hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 301997 603994 905991 1207988 1811982 2415976 2717973 3623964 4831952 5435946 7247928 9663904 10871892 14495856 21743784 28991712 43487568 86975136