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12922680 = 2335113953
BaseRepresentation
bin110001010010…
…111100111000
3220022112120210
4301102330320
511302011210
61140551120
7214561311
oct61227470
926275523
1012922680
117327001
1243b24a0
1328a5c74
141a05608
151203e20
hexc52f38

12922680 has 64 divisors (see below), whose sum is σ = 39152160. Its totient is φ = 3411968.

The previous prime is 12922633. The next prime is 12922681. The reversal of 12922680 is 8622921.

12922680 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12922681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13084 + ... + 14036.

Almost surely, 212922680 is an apocalyptic number.

12922680 is a gapful number since it is divisible by the number (10) 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 12922680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576080).

12922680 is an abundant number, since it is smaller than the sum of its proper divisors (26229480).

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

12922680 is a wasteful number, since it uses less digits than its factorization.

12922680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12922680 is about 3594.8129297642. The cubic root of 12922680 is about 234.6663743253. Note that the first 3 decimals are identical.

The spelling of 12922680 in words is "twelve million, nine hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 953 1130 1356 1695 1906 2260 2712 2859 3390 3812 4520 4765 5718 6780 7624 9530 11436 13560 14295 19060 22872 28590 38120 57180 107689 114360 215378 323067 430756 538445 646134 861512 1076890 1292268 1615335 2153780 2584536 3230670 4307560 6461340 12922680