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13327056 = 2432194871
BaseRepresentation
bin110010110101…
…101011010000
3221002002021200
4302311223100
511402431211
61153351200
7221164251
oct62655320
927062250
1013327056
1175828a6
124568500
1329b8042
141aacb28
151283b56
hexcb5ad0

13327056 has 60 divisors (see below), whose sum is σ = 39268320. Its totient is φ = 4207680.

The previous prime is 13327021. The next prime is 13327057. The reversal of 13327056 is 65072331.

It is a happy number.

13327056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133270562 = 355220843254272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (654472).

Almost surely, 213327056 is an apocalyptic number.

13327056 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 13327056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634160).

13327056 is an abundant number, since it is smaller than the sum of its proper divisors (25941264).

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

13327056 is a wasteful number, since it uses less digits than its factorization.

13327056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13327056 is about 3650.6240562402. The cubic root of 13327056 is about 237.0890014497.

Adding to 13327056 its reverse (65072331), we get a palindrome (78399387).

The spelling of 13327056 in words is "thirteen million, three hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4871 9742 14613 19484 29226 38968 43839 58452 77936 87678 92549 116904 175356 185098 233808 277647 350712 370196 555294 701424 740392 832941 1110588 1480784 1665882 2221176 3331764 4442352 6663528 13327056