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12692916 = 2233211557
BaseRepresentation
bin110000011010…
…110110110100
3212212212102000
4300122312310
511222133131
61132015300
7212613405
oct60326664
925785360
1012692916
11718a415
124301530
132825502
1419859ac
1511aace6
hexc1adb4

12692916 has 48 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 4203360.

The previous prime is 12692881. The next prime is 12692921. The reversal of 12692916 is 61929621.

12692916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126929162 = 322220233166112, which contains 22 as substring.

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, 22510 + ... + 23066.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 212692916 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 12692916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440).

12692916 is an abundant number, since it is smaller than the sum of its proper divisors (20429964).

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

12692916 is a wasteful number, since it uses less digits than its factorization.

12692916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

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

The square root of 12692916 is about 3562.7118884355. The cubic root of 12692916 is about 233.2672674637.

The spelling of 12692916 in words is "twelve million, six hundred ninety-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 557 633 844 1114 1266 1671 1899 2228 2532 3342 3798 5013 5697 6684 7596 10026 11394 15039 20052 22788 30078 60156 117527 235054 352581 470108 705162 1057743 1410324 2115486 3173229 4230972 6346458 12692916