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13038980 = 2252922481
BaseRepresentation
bin110001101111…
…010110000100
3220112110010012
4301233112010
511314221410
61143245352
7215554343
oct61572604
926473105
1013038980
1173a6419
124449858
132916b96
141a35b5a
151228605
hexc6f584

13038980 has 24 divisors (see below), whose sum is σ = 28327320. Its totient is φ = 5035520.

The previous prime is 13038979. The next prime is 13039021. The reversal of 13038980 is 8983031.

13038980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 13017664 = 146^2 + 3608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10661 + ... + 11820.

It is an arithmetic number, because the mean of its divisors is an integer number (1180305).

Almost surely, 213038980 is an apocalyptic number.

13038980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13038980 is an abundant number, since it is smaller than the sum of its proper divisors (15288340).

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

13038980 is a wasteful number, since it uses less digits than its factorization.

13038980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22519 (or 22517 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 13038980 is about 3610.9527828539. The cubic root of 13038980 is about 235.3682471577.

The spelling of 13038980 in words is "thirteen million, thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 22481 44962 89924 112405 224810 449620 651949 1303898 2607796 3259745 6519490 13038980