Search a number
-
+
13104504 = 23377107
BaseRepresentation
bin110001111111…
…010101111000
3220122210000000
4301333111320
511323321004
61144513000
7216246360
oct61772570
926583000
1013104504
117440676
12447b760
13293a95a
141a519a0
15123cc39
hexc7f578

13104504 has 128 divisors (see below), whose sum is σ = 42508800. Its totient is φ = 3709152.

The previous prime is 13104451. The next prime is 13104521. The reversal of 13104504 is 40540131.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 122419 + ... + 122525.

It is an arithmetic number, because the mean of its divisors is an integer number (332100).

Almost surely, 213104504 is an apocalyptic number.

13104504 is a gapful number since it is divisible by the number (14) 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 13104504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254400).

13104504 is an abundant number, since it is smaller than the sum of its proper divisors (29404296).

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

13104504 is an equidigital number, since it uses as much as digits as its factorization.

13104504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13104504 is about 3620.0143646124. The cubic root of 13104504 is about 235.7618491975.

Adding to 13104504 its reverse (40540131), we get a palindrome (53644635).

The spelling of 13104504 in words is "thirteen million, one hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 107 108 126 162 168 189 214 216 243 252 321 324 378 428 486 504 567 642 648 729 749 756 856 963 972 1134 1284 1458 1498 1512 1701 1926 1944 2187 2247 2268 2568 2889 2916 2996 3402 3852 4374 4494 4536 5103 5778 5832 5992 6741 6804 7704 8667 8748 8988 10206 11556 13482 13608 15309 17334 17496 17976 20223 20412 23112 26001 26964 30618 34668 40446 40824 52002 53928 60669 61236 69336 78003 80892 104004 121338 122472 156006 161784 182007 208008 234009 242676 312012 364014 468018 485352 546021 624024 728028 936036 1092042 1456056 1638063 1872072 2184084 3276126 4368168 6552252 13104504