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13315056 = 243713907
BaseRepresentation
bin110010110010…
…101111110000
3221001110211020
4302302233300
511402040211
61153215440
7221114256
oct62625760
927043736
1013315056
117574887
124561580
1329b2741
141aa85d6
151280306
hexcb2bf0

13315056 has 40 divisors (see below), whose sum is σ = 34890624. Its totient is φ = 4374720.

The previous prime is 13315051. The next prime is 13315069. The reversal of 13315056 is 65051331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315051) 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, 1455 + ... + 5361.

Almost surely, 213315056 is an apocalyptic number.

13315056 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 13315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17445312).

13315056 is an abundant number, since it is smaller than the sum of its proper divisors (21575568).

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

13315056 is a wasteful number, since it uses less digits than its factorization.

13315056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13315056 is about 3648.9801314888. The cubic root of 13315056 is about 237.0178198782.

Adding to 13315056 its reverse (65051331), we get a palindrome (78366387).

The spelling of 13315056 in words is "thirteen million, three hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 3907 7814 11721 15628 23442 31256 46884 62512 93768 187536 277397 554794 832191 1109588 1664382 2219176 3328764 4438352 6657528 13315056