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85656140 = 22523296421
BaseRepresentation
bin1010001101100…
…00001001001100
312222011210010122
411012300021030
5133411444030
612255524112
72060031233
oct506601114
9188153118
1085656140
11443947a9
1224829638
1314990a0b
14b539b1a
1577be8e5
hex51b024c

85656140 has 48 divisors (see below), whose sum is σ = 194201280. Its totient is φ = 31637760.

The previous prime is 85656133. The next prime is 85656143. The reversal of 85656140 is 4165658.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85656140.

It is not an unprimeable number, because it can be changed into a prime (85656143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10130 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 285656140 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 85656140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

85656140 is an abundant number, since it is smaller than the sum of its proper divisors (108545140).

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

85656140 is a wasteful number, since it uses less digits than its factorization.

85656140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 85656140 is about 9255.0602375133. The cubic root of 85656140 is about 440.8114159491.

The spelling of 85656140 in words is "eighty-five million, six hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6421 6670 12842 13340 25684 32105 64210 128420 147683 186209 295366 372418 590732 738415 744836 931045 1476830 1862090 2953660 3724180 4282807 8565614 17131228 21414035 42828070 85656140