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260808704 = 213133179
BaseRepresentation
bin11111000101110…
…10000000000000
3200011202110021122
433202322000000
51013231334304
641514011412
76314560142
oct1742720000
9604673248
10260808704
11124246492
1273416b68
13420583a0
14268d0c92
1517d6b9be
hexf8ba000

260808704 has 112 divisors (see below), whose sum is σ = 587166720. Its totient is φ = 115015680.

The previous prime is 260808701. The next prime is 260808731. The reversal of 260808704 is 407808062.

260808704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260808701) 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, 3301337 + ... + 3301415.

It is an arithmetic number, because the mean of its divisors is an integer number (5242560).

Almost surely, 2260808704 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 260808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293583360).

260808704 is an abundant number, since it is smaller than the sum of its proper divisors (326358016).

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

260808704 is an equidigital number, since it uses as much as digits as its factorization.

260808704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 260808704 is about 16149.5728736088. The cubic root of 260808704 is about 638.9114830248.

The spelling of 260808704 in words is "two hundred sixty million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 128 158 208 248 256 316 403 416 496 512 632 806 832 992 1024 1027 1264 1612 1664 1984 2048 2054 2449 2528 3224 3328 3968 4096 4108 4898 5056 6448 6656 7936 8192 8216 9796 10112 12896 13312 15872 16432 19592 20224 25792 26624 31744 31837 32864 39184 40448 51584 53248 63488 63674 65728 78368 80896 103168 106496 126976 127348 131456 156736 161792 206336 253952 254696 262912 313472 323584 412672 509392 525824 626944 647168 825344 1018784 1051648 1253888 1650688 2037568 2103296 2507776 3301376 4075136 4206592 5015552 8150272 8413184 10031104 16300544 20062208 32601088 65202176 130404352 260808704