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86140656 = 2432797881
BaseRepresentation
bin1010010001001…
…10011011110000
320000002101202200
411020212123300
5134023000111
612314143200
72064116640
oct510463360
9200071680
1086140656
1144695828
1224a21b00
1314b00404
14b624520
157868256
hex52266f0

86140656 has 120 divisors (see below), whose sum is σ = 278669664. Its totient is φ = 24330240.

The previous prime is 86140609. The next prime is 86140669. The reversal of 86140656 is 65604168.

It is a super-2 number, since 2×861406562 = 14840425232220672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86140656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97336 + ... + 98216.

Almost surely, 286140656 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 86140656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139334832).

86140656 is an abundant number, since it is smaller than the sum of its proper divisors (192529008).

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

86140656 is a wasteful number, since it uses less digits than its factorization.

86140656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86140656 is about 9281.1990604663. The cubic root of 86140656 is about 441.6410071403.

The spelling of 86140656 in words is "eighty-six million, one hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 881 1008 1164 1358 1552 1746 1762 2037 2328 2643 2716 3492 3524 4074 4656 5286 5432 6111 6167 6984 7048 7929 8148 10572 10864 12222 12334 13968 14096 15858 16296 18501 21144 24444 24668 31716 32592 37002 42288 48888 49336 55503 63432 74004 85457 97776 98672 111006 126864 148008 170914 222012 256371 296016 341828 444024 512742 598199 683656 769113 888048 1025484 1196398 1367312 1538226 1794597 2050968 2392796 3076452 3589194 4101936 4785592 5383791 6152904 7178388 9571184 10767582 12305808 14356776 21535164 28713552 43070328 86140656