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86453136 = 243371123113
BaseRepresentation
bin1010010011100…
…10101110010000
320000200021102000
411021302232100
5134113000021
612324554000
72066560650
oct511625620
9200607360
1086453136
1144889580
1224b52900
1314bac703
14b6a6360
1578cab26
hex5272b90

86453136 has 320 divisors, whose sum is σ = 325693440. Its totient is φ = 21288960.

The previous prime is 86453099. The next prime is 86453137. The reversal of 86453136 is 63135468.

86453136 is a `hidden beast` number, since 8 + 645 + 3 + 1 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

86453136 is a modest number, since divided by 53136 gives 864 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 86453136.

It is not an unprimeable number, because it can be changed into a prime (86453137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765016 + ... + 765128.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 286453136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86453136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

86453136 is an abundant number, since it is smaller than the sum of its proper divisors (239240304).

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

86453136 is a wasteful number, since it uses less digits than its factorization.

86453136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 86453136 is about 9298.0178532846. The cubic root of 86453136 is about 442.1743884395.

It can be divided in two parts, 8645 and 3136, that added together give a triangular number (11781 = T153).

The spelling of 86453136 in words is "eighty-six million, four hundred fifty-three thousand, one hundred thirty-six".