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86640732 = 22337111299
BaseRepresentation
bin1010010101000…
…00100001011100
320001000210202000
411022200201130
5134140000412
612333002300
72101301613
oct512404134
9201023660
1086640732
11449a7512
1225023390
1314c46c09
14b71487a
1579164dc
hex52a085c

86640732 has 48 divisors (see below), whose sum is σ = 227808000. Its totient is φ = 28470960.

The previous prime is 86640713. The next prime is 86640767. The reversal of 86640732 is 23704668.

86640732 is a `hidden beast` number, since 8 + 6 + 640 + 7 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 13317.

It is an arithmetic number, because the mean of its divisors is an integer number (4746000).

Almost surely, 286640732 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 86640732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113904000).

86640732 is an abundant number, since it is smaller than the sum of its proper divisors (141167268).

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

86640732 is a wasteful number, since it uses less digits than its factorization.

86640732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11383 (or 11375 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 86640732 is about 9308.1003432494. The cubic root of 86640732 is about 442.4939844054.

The spelling of 86640732 in words is "eighty-six million, six hundred forty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 11299 22598 33897 45196 67794 101691 135588 203382 305073 406764 610146 802229 1220292 1604458 2406687 3208916 4813374 7220061 9626748 14440122 21660183 28880244 43320366 86640732