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13310928 = 2432234019
BaseRepresentation
bin110010110001…
…101111010000
3221001021011100
4302301233100
511401422203
61153144400
7221066241
oct62615720
927037140
1013310928
117571774
12455b100
1329b08b7
141aa6cc8
15127dea3
hexcb1bd0

13310928 has 60 divisors (see below), whose sum is σ = 38881440. Its totient is φ = 4243008.

The previous prime is 13310909. The next prime is 13310939. The reversal of 13310928 is 82901331.

13310928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (648024).

Almost surely, 213310928 is an apocalyptic number.

13310928 is a gapful number since it is divisible by the number (18) 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 13310928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440720).

13310928 is an abundant number, since it is smaller than the sum of its proper divisors (25570512).

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

13310928 is a wasteful number, since it uses less digits than its factorization.

13310928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4047 counting only the distinct ones).

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

The square root of 13310928 is about 3648.4144501413. The cubic root of 13310928 is about 236.9933235314.

The spelling of 13310928 in words is "thirteen million, three hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 4019 8038 12057 16076 24114 32152 36171 48228 64304 72342 92437 96456 144684 184874 192912 277311 289368 369748 554622 578736 739496 831933 1109244 1478992 1663866 2218488 3327732 4436976 6655464 13310928