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12888084 = 22311163599
BaseRepresentation
bin110001001010…
…100000010100
3220020210010110
4301022200110
511244404314
61140123020
7214355406
oct61124024
926223113
1012888084
117303010
124396470
1328932b1
1419d6b76
1511e8a59
hexc4a814

12888084 has 48 divisors (see below), whose sum is σ = 33062400. Its totient is φ = 3875040.

The previous prime is 12888079. The next prime is 12888121. The reversal of 12888084 is 48088821.

It is a super-2 number, since 2×128880842 = 332205418382112, which contains 22 as substring.

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, 21217 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (688800).

Almost surely, 212888084 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 12888084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531200).

12888084 is an abundant number, since it is smaller than the sum of its proper divisors (20174316).

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

12888084 is a wasteful number, since it uses less digits than its factorization.

12888084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 12888084 is about 3589.9977715871. The cubic root of 12888084 is about 234.4567745229.

The spelling of 12888084 in words is "twelve million, eight hundred eighty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 599 652 978 1198 1793 1797 1956 2396 3586 3594 5379 6589 7172 7188 10758 13178 19767 21516 26356 39534 79068 97637 195274 292911 390548 585822 1074007 1171644 2148014 3222021 4296028 6444042 12888084