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75856680 = 23325210713
BaseRepresentation
bin1001000010101…
…11101100101000
312021201220210200
410201113230220
5123404403210
611305512200
71610525334
oct441275450
9167656720
1075856680
1139901279
12214a2660
131293c513
14a1087c4
1569d60c0
hex4857b28

75856680 has 48 divisors (see below), whose sum is σ = 246535380. Its totient is φ = 20228352.

The previous prime is 75856679. The next prime is 75856681. The reversal of 75856680 is 8665857.

75856680 is a `hidden beast` number, since 7 + 5 + 8 + 566 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (75856679) and next prime (75856681).

It can be written as a sum of positive squares in 2 ways, for example, as 62062884 + 13793796 = 7878^2 + 3714^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75856681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104997 + ... + 105716.

Almost surely, 275856680 is an apocalyptic number.

It is an amenable number.

75856680 is an abundant number, since it is smaller than the sum of its proper divisors (170678700).

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

75856680 is a wasteful number, since it uses less digits than its factorization.

75856680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210730 (or 210723 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 75856680 is about 8709.5740423973. The cubic root of 75856680 is about 423.3159284941.

The spelling of 75856680 in words is "seventy-five million, eight hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 210713 421426 632139 842852 1053565 1264278 1685704 1896417 2107130 2528556 3160695 3792834 4214260 5057112 6321390 7585668 8428520 9482085 12642780 15171336 18964170 25285560 37928340 75856680