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13002656 = 25597197
BaseRepresentation
bin110001100110…
…011110100000
3220110121021212
4301212132200
511312041111
61142405252
7215343422
oct61463640
926417255
1013002656
1173810a7
124430828
1329034a4
141a26812
15121c98b
hexc667a0

13002656 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 6236160.

The previous prime is 13002629. The next prime is 13002677. The reversal of 13002656 is 65620031.

It is an unprimeable number.

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, 134000 + ... + 134096.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 213002656 is an apocalyptic number.

13002656 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 13002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

13002656 is an abundant number, since it is smaller than the sum of its proper divisors (13669024).

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

13002656 is an equidigital number, since it uses as much as digits as its factorization.

13002656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13002656 is about 3605.9195775835. The cubic root of 13002656 is about 235.1494808738.

Adding to 13002656 its reverse (65620031), we get a palindrome (78622687).

The spelling of 13002656 in words is "thirteen million, two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 71 97 118 142 194 236 284 388 472 568 776 944 1136 1552 1888 2272 3104 4189 5723 6887 8378 11446 13774 16756 22892 27548 33512 45784 55096 67024 91568 110192 134048 183136 220384 406333 812666 1625332 3250664 6501328 13002656