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13502112 = 2531331349
BaseRepresentation
bin110011100000…
…011010100000
3221101222102020
4303200122200
511424031422
61201221440
7222523521
oct63403240
927358366
1013502112
117692378
124631880
132a49920
141b16848
1512ba95c
hexce06a0

13502112 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 4008960.

The previous prime is 13502107. The next prime is 13502123. The reversal of 13502112 is 21120531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13502091 and 13502100.

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, 38514 + ... + 38862.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 213502112 is an apocalyptic number.

13502112 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 13502112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

13502112 is an abundant number, since it is smaller than the sum of its proper divisors (26011488).

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

13502112 is a wasteful number, since it uses less digits than its factorization.

13502112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 13502112 is about 3674.5220097313. The cubic root of 13502112 is about 238.1225741515.

Adding to 13502112 its reverse (21120531), we get a palindrome (34622643).

The spelling of 13502112 in words is "thirteen million, five hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 349 372 403 416 496 624 698 744 806 992 1047 1209 1248 1396 1488 1612 2094 2418 2792 2976 3224 4188 4537 4836 5584 6448 8376 9074 9672 10819 11168 12896 13611 16752 18148 19344 21638 27222 32457 33504 36296 38688 43276 54444 64914 72592 86552 108888 129828 140647 145184 173104 217776 259656 281294 346208 421941 435552 519312 562588 843882 1038624 1125176 1687764 2250352 3375528 4500704 6751056 13502112