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260413328 = 24713117749
BaseRepresentation
bin11111000010110…
…01011110010000
3200011000100221002
433201121132100
51013131211303
641501321132
76311322350
oct1741313620
9604010832
10260413328
11123aa642a
12732661a8
1341c4a436
142682ab60
1517cde788
hexf859790

260413328 has 40 divisors (see below), whose sum is σ = 581064000. Its totient is φ = 110747520.

The previous prime is 260413261. The next prime is 260413343. The reversal of 260413328 is 823314062.

260413328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 260413328.

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, 5798 + ... + 23546.

It is an arithmetic number, because the mean of its divisors is an integer number (14526600).

Almost surely, 2260413328 is an apocalyptic number.

260413328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290532000).

260413328 is an abundant number, since it is smaller than the sum of its proper divisors (320650672).

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

260413328 is a wasteful number, since it uses less digits than its factorization.

260413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17895 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 260413328 is about 16137.3271640628. The cubic root of 260413328 is about 638.5884646344.

The spelling of 260413328 in words is "two hundred sixty million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 7336 14672 17749 35498 70996 124243 141992 248486 283984 496972 993944 1987888 2325119 4650238 9300476 16275833 18600952 32551666 37201904 65103332 130206664 260413328