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12916692 = 2233199601
BaseRepresentation
bin110001010001…
…011111010100
3220022020101000
4301101133110
511301313232
61140503300
7214534665
oct61213724
926266330
1012916692
117322558
1243aab30
1328a3319
141a0336c
15120227c
hexc517d4

12916692 has 48 divisors (see below), whose sum is σ = 33712000. Its totient is φ = 4276800.

The previous prime is 12916679. The next prime is 12916721. The reversal of 12916692 is 29661921.

12916692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 21192 + ... + 21792.

Almost surely, 212916692 is an apocalyptic number.

12916692 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 12916692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856000).

12916692 is an abundant number, since it is smaller than the sum of its proper divisors (20795308).

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

12916692 is a wasteful number, since it uses less digits than its factorization.

12916692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12916692 is about 3593.9799665552. The cubic root of 12916692 is about 234.6301228319.

The spelling of 12916692 in words is "twelve million, nine hundred sixteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 601 796 1194 1202 1791 1803 2388 2404 3582 3606 5373 5409 7164 7212 10746 10818 16227 21492 21636 32454 64908 119599 239198 358797 478396 717594 1076391 1435188 2152782 3229173 4305564 6458346 12916692