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12890988 = 2234113617
BaseRepresentation
bin110001001011…
…001101101100
3220020221010000
4301023031230
511300002423
61140144300
7214400025
oct61131554
926227100
1012890988
117305210
124398090
132894706
1419d7c4c
1511e9843
hexc4b36c

12890988 has 60 divisors (see below), whose sum is σ = 36773352. Its totient is φ = 3905280.

The previous prime is 12890963. The next prime is 12890989. The reversal of 12890988 is 88909821.

12890988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128909882 = 332355143232288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12890989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1756 + ... + 5372.

Almost surely, 212890988 is an apocalyptic number.

12890988 is a gapful number since it is divisible by the number (18) 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 12890988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18386676).

12890988 is an abundant number, since it is smaller than the sum of its proper divisors (23882364).

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

12890988 is a wasteful number, since it uses less digits than its factorization.

12890988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 12890988 is about 3590.4022058817. The cubic root of 12890988 is about 234.4743828124.

The spelling of 12890988 in words is "twelve million, eight hundred ninety thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 3617 7234 10851 14468 21702 32553 39787 43404 65106 79574 97659 119361 130212 159148 195318 238722 292977 358083 390636 477444 585954 716166 1074249 1171908 1432332 2148498 3222747 4296996 6445494 12890988