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95360 = 275149
BaseRepresentation
bin10111010010000000
311211210212
4113102000
511022420
62013252
7545006
oct272200
9154725
1095360
1165711
1247228
1334535
1426a76
151d3c5
hex17480

95360 has 32 divisors (see below), whose sum is σ = 229500. Its totient is φ = 37888.

The previous prime is 95339. The next prime is 95369. The reversal of 95360 is 6359.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 7744 = 296^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (95369) by changing a digit.

95360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 566 + ... + 714.

295360 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 95360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114750).

95360 is an abundant number, since it is smaller than the sum of its proper divisors (134140).

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

95360 is a wasteful number, since it uses less digits than its factorization.

95360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 95360 is about 308.8041450499. The cubic root of 95360 is about 45.6865903674.

The spelling of 95360 in words is "ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 1192 1490 2384 2980 4768 5960 9536 11920 19072 23840 47680 95360