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12924090 = 2335151317
BaseRepresentation
bin110001010011…
…010010111010
3220022121112000
4301103102322
511302032330
61141001430
7214565364
oct61232272
926277460
1012924090
117328073
1243b3276
1328a67ba
141a05d34
151204560
hexc534ba

12924090 has 64 divisors (see below), whose sum is σ = 34801920. Its totient is φ = 3412800.

The previous prime is 12924089. The next prime is 12924133. The reversal of 12924090 is 9042921.

12924090 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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40612 + ... + 40928.

It is an arithmetic number, because the mean of its divisors is an integer number (543780).

Almost surely, 212924090 is an apocalyptic number.

12924090 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 12924090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400960).

12924090 is an abundant number, since it is smaller than the sum of its proper divisors (21877830).

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

12924090 is a wasteful number, since it uses less digits than its factorization.

12924090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12924090 is about 3595.0090403224. The cubic root of 12924090 is about 234.6749088696.

The spelling of 12924090 in words is "twelve million, nine hundred twenty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 317 453 634 755 906 951 1359 1510 1585 1902 2265 2718 2853 3170 4077 4530 4755 5706 6795 8154 8559 9510 13590 14265 17118 20385 28530 40770 42795 47867 85590 95734 143601 239335 287202 430803 478670 718005 861606 1292409 1436010 2154015 2584818 4308030 6462045 12924090