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13261056 = 28331557
BaseRepresentation
bin110010100101…
…100100000000
3220221201202020
4302211210000
511343323211
61152121440
7220500654
oct62454400
926851666
1013261056
117538256
124536280
132993ca3
141a92a64
15126e306
hexca5900

13261056 has 72 divisors (see below), whose sum is σ = 36497664. Its totient is φ = 4270080.

The previous prime is 13261051. The next prime is 13261063. The reversal of 13261056 is 65016231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13261051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23530 + ... + 24086.

It is an arithmetic number, because the mean of its divisors is an integer number (506912).

Almost surely, 213261056 is an apocalyptic number.

13261056 is a gapful number since it is divisible by the number (16) 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 13261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

13261056 is an abundant number, since it is smaller than the sum of its proper divisors (23236608).

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

13261056 is an equidigital number, since it uses as much as digits as its factorization.

13261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13261056 is about 3641.5732863695. The cubic root of 13261056 is about 236.6969724686.

Adding to 13261056 its reverse (65016231), we get a palindrome (78277287).

The spelling of 13261056 in words is "thirteen million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 557 744 768 992 1114 1488 1671 1984 2228 2976 3342 3968 4456 5952 6684 7936 8912 11904 13368 17267 17824 23808 26736 34534 35648 51801 53472 69068 71296 103602 106944 138136 142592 207204 213888 276272 414408 427776 552544 828816 1105088 1657632 2210176 3315264 4420352 6630528 13261056