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260064 = 2533743
BaseRepresentation
bin111111011111100000
3111012202000
4333133200
531310224
65324000
72132130
oct773740
9435660
10260064
11168432
12106600
13914ac
146aac0
15520c9
hex3f7e0

260064 has 96 divisors (see below), whose sum is σ = 887040. Its totient is φ = 72576.

The previous prime is 260047. The next prime is 260081. The reversal of 260064 is 460062.

260064 is a `hidden beast` number, since 2 + 600 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (260047) and next prime (260081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6027 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2260064 is an apocalyptic number.

260064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

260064 is an abundant number, since it is smaller than the sum of its proper divisors (626976).

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

260064 is a wasteful number, since it uses less digits than its factorization.

260064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 260064 is about 509.9647046610. The cubic root of 260064 is about 63.8302794856.

260064 divided by its product of nonzero digits (288) gives a triangular number (903 = T42).

The spelling of 260064 in words is "two hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 54 56 63 72 84 86 96 108 112 126 129 144 168 172 189 216 224 252 258 288 301 336 344 378 387 432 504 516 602 672 688 756 774 864 903 1008 1032 1161 1204 1376 1512 1548 1806 2016 2064 2322 2408 2709 3024 3096 3612 4128 4644 4816 5418 6048 6192 7224 8127 9288 9632 10836 12384 14448 16254 18576 21672 28896 32508 37152 43344 65016 86688 130032 260064