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260076064 = 25173891229
BaseRepresentation
bin11111000000001…
…11001000100000
3200010101020021211
433200013020200
51013034413224
641450155504
76305416153
oct1740071040
9603336254
10260076064
11123895aa6
1273122b94
1341b5ca81
142677dc9a
1517c74894
hexf807220

260076064 has 48 divisors (see below), whose sum is σ = 543979800. Its totient is φ = 121974784.

The previous prime is 260076059. The next prime is 260076077. The reversal of 260076064 is 460670062.

It can be written as a sum of positive squares in 4 ways, for example, as 259467664 + 608400 = 16108^2 + 780^2 .

It is a super-3 number, since 3×2600760643 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211002 + ... + 212230.

Almost surely, 2260076064 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 260076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271989900).

260076064 is an abundant number, since it is smaller than the sum of its proper divisors (283903736).

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

260076064 is a wasteful number, since it uses less digits than its factorization.

260076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 260076064 is about 16126.8739686276. The cubic root of 260076064 is about 638.3126646901.

The spelling of 260076064 in words is "two hundred sixty million, seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 389 544 778 1229 1556 2458 3112 4916 6224 6613 9832 12448 13226 19664 20893 26452 39328 41786 52904 83572 105808 167144 211616 334288 478081 668576 956162 1912324 3824648 7649296 8127377 15298592 16254754 32509508 65019016 130038032 260076064