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260061056 = 2719611753
BaseRepresentation
bin11111000000000…
…11011110000000
3200010100110200222
433200003132000
51013033423211
641450002212
76305324333
oct1740033600
9603313628
10260061056
111238857a2
1273116368
1341b55ca8
142677861a
1517c701db
hexf803780

260061056 has 64 divisors (see below), whose sum is σ = 554614800. Its totient is φ = 121098240.

The previous prime is 260061031. The next prime is 260061059. The reversal of 260061056 is 650160062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260061059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147476 + ... + 149228.

Almost surely, 2260061056 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 260061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277307400).

260061056 is an abundant number, since it is smaller than the sum of its proper divisors (294553744).

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

260061056 is a wasteful number, since it uses less digits than its factorization.

260061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 260061056 is about 16126.4086516496. The cubic root of 260061056 is about 638.3003862556.

The spelling of 260061056 in words is "two hundred sixty million, sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 488 608 976 1159 1216 1753 1952 2318 2432 3506 3904 4636 7012 7808 9272 14024 18544 28048 33307 37088 56096 66614 74176 106933 112192 133228 148352 213866 224384 266456 427732 532912 855464 1065824 1710928 2031727 2131648 3421856 4063454 4263296 6843712 8126908 13687424 16253816 32507632 65015264 130030528 260061056