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13330656 = 253437139
BaseRepresentation
bin110010110110…
…100011100000
3221002021020000
4302312203200
511403040111
61153420000
7221210613
oct62664340
927067200
1013330656
117585579
12456a600
1329b9881
141ab017a
151284c56
hexcb68e0

13330656 has 120 divisors (see below), whose sum is σ = 40554360. Its totient is φ = 4292352.

The previous prime is 13330649. The next prime is 13330661. The reversal of 13330656 is 65603331.

13330656 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 95835 + ... + 95973.

It is an arithmetic number, because the mean of its divisors is an integer number (337953).

Almost surely, 213330656 is an apocalyptic number.

13330656 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 13330656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277180).

13330656 is an abundant number, since it is smaller than the sum of its proper divisors (27223704).

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

13330656 is a wasteful number, since it uses less digits than its factorization.

13330656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 13330656 is about 3651.1170893303. The cubic root of 13330656 is about 237.1103475885.

Adding to 13330656 its reverse (65603331), we get a palindrome (78933987).

The spelling of 13330656 in words is "thirteen million, three hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 139 144 148 162 216 222 278 288 296 324 333 417 432 444 556 592 648 666 834 864 888 999 1112 1184 1251 1296 1332 1668 1776 1998 2224 2502 2592 2664 2997 3336 3552 3753 3996 4448 5004 5143 5328 5994 6672 7506 7992 10008 10286 10656 11259 11988 13344 15012 15429 15984 20016 20572 22518 23976 30024 30858 31968 40032 41144 45036 46287 47952 60048 61716 82288 90072 92574 95904 120096 123432 138861 164576 180144 185148 246864 277722 360288 370296 416583 493728 555444 740592 833166 1110888 1481184 1666332 2221776 3332664 4443552 6665328 13330656