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13320504 = 233383743
BaseRepresentation
bin110010110100…
…000100111000
3221001202022000
4302310010320
511402224004
61153301000
7221136201
oct62640470
927052260
1013320504
11757898a
124564760
1329b5072
141aaa5a8
151281c39
hexcb4138

13320504 has 64 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4380768.

The previous prime is 13320493. The next prime is 13320521. The reversal of 13320504 is 40502331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17557 + ... + 18299.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 213320504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13320504 is an abundant number, since it is smaller than the sum of its proper divisors (24177096).

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

13320504 is a wasteful number, since it uses less digits than its factorization.

13320504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13320504 is about 3649.7265651005. The cubic root of 13320504 is about 237.0501416101.

Adding to 13320504 its reverse (40502331), we get a palindrome (53822835).

It can be divided in two parts, 13320 and 504, that added together give a cube (13824 = 243).

The spelling of 13320504 in words is "thirteen million, three hundred twenty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 743 747 996 1486 1494 1992 2229 2241 2972 2988 4458 4482 5944 5976 6687 8916 8964 13374 17832 17928 20061 26748 40122 53496 61669 80244 123338 160488 185007 246676 370014 493352 555021 740028 1110042 1480056 1665063 2220084 3330126 4440168 6660252 13320504