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13315616 = 25312433
BaseRepresentation
bin110010110010…
…111000100000
3221001111120222
4302302320200
511402044431
61153222212
7221116016
oct62627040
927044528
1013315616
117575246
124561968
1329b2a82
141aa88b6
15128057b
hexcb2e20

13315616 has 36 divisors (see below), whose sum is σ = 27150606. Its totient is φ = 6428160.

The previous prime is 13315613. The next prime is 13315619. The reversal of 13315616 is 61651331.

It is an interprime number because it is at equal distance from previous prime (13315613) and next prime (13315619).

It can be written as a sum of positive squares in only one way, i.e., 12931216 + 384400 = 3596^2 + 620^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30536 + ... + 30968.

Almost surely, 213315616 is an apocalyptic number.

13315616 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 13315616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575303).

13315616 is an abundant number, since it is smaller than the sum of its proper divisors (13834990).

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

13315616 is an equidigital number, since it uses as much as digits as its factorization.

13315616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 466 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 13315616 is about 3649.0568644514. The cubic root of 13315616 is about 237.0211426360.

Adding to 13315616 its reverse (61651331), we get a palindrome (74966947).

It can be divided in two parts, 13315 and 616, that added together give a palindrome (13931).

The spelling of 13315616 in words is "thirteen million, three hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 433 496 866 961 992 1732 1922 3464 3844 6928 7688 13423 13856 15376 26846 30752 53692 107384 214768 416113 429536 832226 1664452 3328904 6657808 13315616