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95064 = 23317233
BaseRepresentation
bin10111001101011000
311211101220
4113031120
511020224
62012040
7544104
oct271530
9154356
1095064
1165472
1247020
1334368
1426904
151d279
hex17358

95064 has 32 divisors (see below), whose sum is σ = 252720. Its totient is φ = 29696.

The previous prime is 95063. The next prime is 95071. The reversal of 95064 is 46059.

95064 = T11 + T12 + ... + T82.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 524.

295064 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 95064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

95064 is an abundant number, since it is smaller than the sum of its proper divisors (157656).

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

95064 is a wasteful number, since it uses less digits than its factorization.

95064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 95064 is about 308.3245043781. The cubic root of 95064 is about 45.6392705720.

The spelling of 95064 in words is "ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 233 408 466 699 932 1398 1864 2796 3961 5592 7922 11883 15844 23766 31688 47532 95064