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260856672 = 25353167307
BaseRepresentation
bin11111000110001…
…01101101100000
3200011211220002020
433203011231200
51013234403142
641515021440
76315150036
oct1743055540
9604756066
10260856672
1112427952a
127343a880
134207417b
1426904556
1517d7acec
hexf8c5b60

260856672 has 96 divisors (see below), whose sum is σ = 704132352. Its totient is φ = 84524544.

The previous prime is 260856671. The next prime is 260856683. The reversal of 260856672 is 276658062.

260856672 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260856671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849543 + ... + 849849.

It is an arithmetic number, because the mean of its divisors is an integer number (7334712).

Almost surely, 2260856672 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 260856672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352066176).

260856672 is an abundant number, since it is smaller than the sum of its proper divisors (443275680).

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

260856672 is a wasteful number, since it uses less digits than its factorization.

260856672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 260856672 is about 16151.0579220062. The cubic root of 260856672 is about 638.9506502086.

The spelling of 260856672 in words is "two hundred sixty million, eight hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 167 212 307 318 334 424 501 614 636 668 848 921 1002 1228 1272 1336 1696 1842 2004 2456 2544 2672 3684 4008 4912 5088 5344 7368 8016 8851 9824 14736 16032 16271 17702 26553 29472 32542 35404 48813 51269 53106 65084 70808 97626 102538 106212 130168 141616 153807 195252 205076 212424 260336 283232 307614 390504 410152 424848 520672 615228 781008 820304 849696 1230456 1562016 1640608 2460912 2717257 4921824 5434514 8151771 10869028 16303542 21738056 32607084 43476112 65214168 86952224 130428336 260856672