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86088680 = 23517126601
BaseRepresentation
bin1010010000110…
…01101111101000
312222222202110122
411020121233220
5134014314210
612313102412
72063512256
oct510315750
9188882418
1086088680
114465a777
12249b7a08
1314ab2862
14b60d5d6
157857b55
hex5219be8

86088680 has 32 divisors (see below), whose sum is σ = 205095240. Its totient is φ = 32409600.

The previous prime is 86088671. The next prime is 86088683. The reversal of 86088680 is 8688068.

It can be written as a sum of positive squares in 4 ways, for example, as 86081284 + 7396 = 9278^2 + 86^2 .

It is a super-2 number, since 2×860886802 = 14822521648284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86088683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62621 + ... + 63980.

Almost surely, 286088680 is an apocalyptic number.

It is an amenable number.

86088680 is an abundant number, since it is smaller than the sum of its proper divisors (119006560).

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

86088680 is a wasteful number, since it uses less digits than its factorization.

86088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126629 (or 126625 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 86088680 is about 9278.3985687186. The cubic root of 86088680 is about 441.5521627144.

It can be divided in two parts, 86088 and 680, that added together give a palindrome (86768).

The spelling of 86088680 in words is "eighty-six million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 126601 253202 506404 633005 1012808 1266010 2152217 2532020 4304434 5064040 8608868 10761085 17217736 21522170 43044340 86088680