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265097664 = 26331311801
BaseRepresentation
bin11111100110100…
…01000111000000
3200110211100122000
433303101013000
51020331111124
642145544000
76366202326
oct1763210700
9613740560
10265097664
11126705887
1274945000
1342bca630
14272c9d16
15184176c9
hexfcd11c0

265097664 has 112 divisors (see below), whose sum is σ = 839358240. Its totient is φ = 81561600.

The previous prime is 265097621. The next prime is 265097683. The reversal of 265097664 is 466790562.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16564 + ... + 28364.

It is an arithmetic number, because the mean of its divisors is an integer number (7494270).

Almost surely, 2265097664 is an apocalyptic number.

265097664 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 265097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419679120).

265097664 is an abundant number, since it is smaller than the sum of its proper divisors (574260576).

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

265097664 is a wasteful number, since it uses less digits than its factorization.

265097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 265097664 is about 16281.8200456829. The cubic root of 265097664 is about 642.3947262503.

The spelling of 265097664 in words is "two hundred sixty-five million, ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 11801 22464 23602 35403 47204 70806 94408 106209 141612 153413 188816 212418 283224 306826 318627 377632 424836 460239 566448 613652 637254 755264 849672 920478 1132896 1227304 1274508 1380717 1699344 1840956 2265792 2454608 2549016 2761434 3398688 3681912 4142151 4909216 5098032 5522868 6797376 7363824 8284302 9818432 10196064 11045736 14727648 16568604 20392128 22091472 29455296 33137208 44182944 66274416 88365888 132548832 265097664