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86631440 = 2457154699
BaseRepresentation
bin1010010100111…
…10010000010000
320001000022222212
411022132100100
5134134201230
612332451252
72101232540
oct512362020
9201008885
1086631440
11449a0535
1225019b28
1314c4290c
14b711320
157913895
hex529e410

86631440 has 40 divisors (see below), whose sum is σ = 230193600. Its totient is φ = 29702016.

The previous prime is 86631427. The next prime is 86631463. The reversal of 86631440 is 4413668.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 86631397 and 86631406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76790 + ... + 77909.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 286631440 is an apocalyptic number.

86631440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86631440 is an abundant number, since it is smaller than the sum of its proper divisors (143562160).

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

86631440 is a wasteful number, since it uses less digits than its factorization.

86631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154719 (or 154713 counting only the distinct ones).

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

The square root of 86631440 is about 9307.6011947225. The cubic root of 86631440 is about 442.4781650519.

The spelling of 86631440 in words is "eighty-six million, six hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 154699 309398 618796 773495 1082893 1237592 1546990 2165786 2475184 3093980 4331572 5414465 6187960 8663144 10828930 12375920 17326288 21657860 43315720 86631440