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13139412 = 223111321931
BaseRepresentation
bin110010000111…
…110111010100
3220201112212220
4302013313110
511330430122
61145342340
7216453216
oct62076724
926645786
1013139412
117464920
1244979b0
132950800
141a605b6
15124825c
hexc87dd4

13139412 has 144 divisors (see below), whose sum is σ = 39352320. Its totient is φ = 3369600.

The previous prime is 13139411. The next prime is 13139429. The reversal of 13139412 is 21493131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13139411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423837 + ... + 423867.

It is an arithmetic number, because the mean of its divisors is an integer number (273280).

Almost surely, 213139412 is an apocalyptic number.

13139412 is a gapful number since it is divisible by the number (12) 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 13139412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676160).

13139412 is an abundant number, since it is smaller than the sum of its proper divisors (26212908).

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

13139412 is a wasteful number, since it uses less digits than its factorization.

13139412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 13139412 is about 3624.8326857939. The cubic root of 13139412 is about 235.9710057265.

The spelling of 13139412 in words is "thirteen million, one hundred thirty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 31 33 38 39 44 52 57 62 66 76 78 93 114 124 132 143 156 169 186 209 228 247 286 338 341 372 403 418 429 494 507 572 589 627 676 682 741 806 836 858 988 1014 1023 1178 1209 1254 1364 1482 1612 1716 1767 1859 2028 2046 2356 2418 2508 2717 2964 3211 3534 3718 4092 4433 4836 5239 5434 5577 6422 6479 7068 7436 7657 8151 8866 9633 10478 10868 11154 12844 12958 13299 15314 15717 16302 17732 19266 19437 20956 22308 22971 25916 26598 30628 31434 32604 35321 38532 38874 45942 53196 57629 62868 70642 77748 84227 91884 99541 105963 115258 141284 168454 172887 199082 211926 230516 252681 298623 336908 345774 398164 423852 505362 597246 691548 1010724 1094951 1194492 2189902 3284853 4379804 6569706 13139412