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12968790 = 2351759431
BaseRepresentation
bin110001011110…
…001101010110
3220101212211120
4301132031112
511310000130
61141544410
7215142612
oct61361526
926355746
1012968790
11735870a
124415106
1328c0c53
141a18342
151212910
hexc5e356

12968790 has 64 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 3192320.

The previous prime is 12968777. The next prime is 12968797. The reversal of 12968790 is 9786921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12968797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29875 + ... + 30305.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 212968790 is an apocalyptic number.

12968790 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 12968790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

12968790 is an abundant number, since it is smaller than the sum of its proper divisors (20623530).

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

12968790 is a wasteful number, since it uses less digits than its factorization.

12968790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 12968790 is about 3601.2206263988. The cubic root of 12968790 is about 234.9451509234.

The spelling of 12968790 in words is "twelve million, nine hundred sixty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 102 118 170 177 255 295 354 431 510 590 862 885 1003 1293 1770 2006 2155 2586 3009 4310 5015 6018 6465 7327 10030 12930 14654 15045 21981 25429 30090 36635 43962 50858 73270 76287 109905 127145 152574 219810 254290 381435 432293 762870 864586 1296879 2161465 2593758 4322930 6484395 12968790