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12620790 = 23257132367
BaseRepresentation
bin110000001001…
…001111110110
3212202012110200
4300021033312
511212331130
61130301330
7212163210
oct60111766
925665420
1012620790
117140206
124287846
1327cb730
1419675b0
151194760
hexc093f6

12620790 has 192 divisors, whose sum is σ = 42771456. Its totient is φ = 2509056.

The previous prime is 12620789. The next prime is 12620827. The reversal of 12620790 is 9702621.

12620790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188337 + ... + 188403.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

It is a vampire number, since it can be written as 20106279 (with its own digits).

Almost surely, 212620790 is an apocalyptic number.

12620790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12620790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

12620790 is an abundant number, since it is smaller than the sum of its proper divisors (30150666).

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

12620790 is a wasteful number, since it uses less digits than its factorization.

12620790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12620790 is about 3552.5751223584. The cubic root of 12620790 is about 232.8245899912.

The spelling of 12620790 in words is "twelve million, six hundred twenty thousand, seven hundred ninety".