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260295072 = 2536314297
BaseRepresentation
bin11111000001111…
…00100110100000
3200010210100201020
433200330212200
51013113420242
641455005440
76310320522
oct1740744640
9603710636
10260295072
11123a255a4
1273209880
1341c0866b
14267d9a12
1517cb96ec
hexf83c9a0

260295072 has 48 divisors (see below), whose sum is σ = 684516672. Its totient is φ = 86607360.

The previous prime is 260295053. The next prime is 260295073. The reversal of 260295072 is 270592062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (260295073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 58428 + ... + 62724.

It is an arithmetic number, because the mean of its divisors is an integer number (14260764).

Almost surely, 2260295072 is an apocalyptic number.

It is an amenable number.

260295072 is an abundant number, since it is smaller than the sum of its proper divisors (424221600).

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

260295072 is a wasteful number, since it uses less digits than its factorization.

260295072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 260295072 is about 16133.6626963625. The cubic root of 260295072 is about 638.4917871053.

The spelling of 260295072 in words is "two hundred sixty million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 631 1262 1893 2524 3786 4297 5048 7572 8594 10096 12891 15144 17188 20192 25782 30288 34376 51564 60576 68752 103128 137504 206256 412512 2711407 5422814 8134221 10845628 16268442 21691256 32536884 43382512 65073768 86765024 130147536 260295072