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86218640 = 2451077733
BaseRepresentation
bin1010010001110…
…01011110010000
320000020100201222
411020321132100
5134032444030
612315544212
72064563204
oct510713620
9200210658
1086218640
1144739382
1224a5b068
1314b29a61
14b644b04
1578813e5
hex5239790

86218640 has 20 divisors (see below), whose sum is σ = 200458524. Its totient is φ = 34487424.

The previous prime is 86218631. The next prime is 86218709. The reversal of 86218640 is 4681268.

It can be written as a sum of positive squares in 2 ways, for example, as 67831696 + 18386944 = 8236^2 + 4288^2 .

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86218640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 538787 + ... + 538946.

Almost surely, 286218640 is an apocalyptic number.

86218640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86218640 is an abundant number, since it is smaller than the sum of its proper divisors (114239884).

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

86218640 is a wasteful number, since it uses less digits than its factorization.

86218640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077746 (or 1077740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 86218640 is about 9285.3992913606. The cubic root of 86218640 is about 441.7742409538.

The spelling of 86218640 in words is "eighty-six million, two hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1077733 2155466 4310932 5388665 8621864 10777330 17243728 21554660 43109320 86218640