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95680 = 2651323
BaseRepresentation
bin10111010111000000
311212020201
4113113000
511030210
62014544
7545644
oct272700
9155221
1095680
1165982
1247454
1334720
1426c24
151d53a
hex175c0

95680 has 56 divisors (see below), whose sum is σ = 256032. Its totient is φ = 33792.

The previous prime is 95651. The next prime is 95701. The reversal of 95680 is 8659.

It is a congruent number.

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, 4149 + ... + 4171.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

295680 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 95680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016).

95680 is an abundant number, since it is smaller than the sum of its proper divisors (160352).

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

95680 is a wasteful number, since it uses less digits than its factorization.

95680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 95680 is about 309.3218388669. The cubic root of 95680 is about 45.7376368796.

The spelling of 95680 in words is "ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 160 184 208 230 260 299 320 368 416 460 520 598 736 832 920 1040 1196 1472 1495 1840 2080 2392 2990 3680 4160 4784 5980 7360 9568 11960 19136 23920 47840 95680