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12891516 = 22311127769
BaseRepresentation
bin110001001011…
…010101111100
3220020221211120
4301023111330
511300012031
61140150540
7214401411
oct61132574
926227746
1012891516
117305650
124398450
132894a21
1419d8108
1511e9a96
hexc4b57c

12891516 has 48 divisors (see below), whose sum is σ = 33116160. Its totient is φ = 3870720.

The previous prime is 12891509. The next prime is 12891517. The reversal of 12891516 is 61519821.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891517) 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 15 ways as a sum of consecutive naturals, for example, 16380 + ... + 17148.

It is an arithmetic number, because the mean of its divisors is an integer number (689920).

Almost surely, 212891516 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 12891516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080).

12891516 is an abundant number, since it is smaller than the sum of its proper divisors (20224644).

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

12891516 is a wasteful number, since it uses less digits than its factorization.

12891516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 12891516 is about 3590.4757344954. The cubic root of 12891516 is about 234.4775840355.

The spelling of 12891516 in words is "twelve million, eight hundred ninety-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 769 1397 1524 1538 2307 2794 3076 4191 4614 5588 8382 8459 9228 16764 16918 25377 33836 50754 97663 101508 195326 292989 390652 585978 1074293 1171956 2148586 3222879 4297172 6445758 12891516