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260956864 = 2673131861
BaseRepresentation
bin11111000110111…
…10001011000000
3200012000222112001
433203132023000
51013301104424
641521113344
76316045120
oct1743361300
9605028461
10260956864
11124337833
1273488854
13420aa95c
142692cc80
1517d9a844
hexf8de2c0

260956864 has 56 divisors (see below), whose sum is σ = 594022688. Its totient is φ = 111421440.

The previous prime is 260956837. The next prime is 260956867. The reversal of 260956864 is 468659062.

260956864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (260956867) 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, 139294 + ... + 141154.

It is an arithmetic number, because the mean of its divisors is an integer number (10607548).

Almost surely, 2260956864 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 260956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297011344).

260956864 is an abundant number, since it is smaller than the sum of its proper divisors (333065824).

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

260956864 is a wasteful number, since it uses less digits than its factorization.

260956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 260956864 is about 16154.1593405538. The cubic root of 260956864 is about 639.0324442306.

The spelling of 260956864 in words is "two hundred sixty million, nine hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 313 448 626 1252 1861 2191 2504 3722 4382 5008 7444 8764 10016 13027 14888 17528 20032 26054 29776 35056 52108 59552 70112 104216 119104 140224 208432 416864 582493 833728 1164986 2329972 4077451 4659944 8154902 9319888 16309804 18639776 32619608 37279552 65239216 130478432 260956864