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86382320 = 2451079779
BaseRepresentation
bin1010010011000…
…01011011110000
320000112200021012
411021201123300
5134103213240
612323250052
72066144333
oct511413360
9200480235
1086382320
1144840352
1224b19928
1314b863cb
14b68861a
1578b4b65
hex52616f0

86382320 has 20 divisors (see below), whose sum is σ = 200839080. Its totient is φ = 34552896.

The previous prime is 86382299. The next prime is 86382323. The reversal of 86382320 is 2328368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86382323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539810 + ... + 539969.

It is an arithmetic number, because the mean of its divisors is an integer number (10041954).

Almost surely, 286382320 is an apocalyptic number.

86382320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86382320 is an abundant number, since it is smaller than the sum of its proper divisors (114456760).

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

86382320 is a wasteful number, since it uses less digits than its factorization.

86382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079792 (or 1079786 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 86382320 is about 9294.2089496632. The cubic root of 86382320 is about 442.0536232997.

The spelling of 86382320 in words is "eighty-six million, three hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1079779 2159558 4319116 5398895 8638232 10797790 17276464 21595580 43191160 86382320