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13038390 = 2325277523
BaseRepresentation
bin110001101111…
…001100110110
3220112102022100
4301233030312
511314212030
61143242530
7215552541
oct61571466
926472270
1013038390
1173a5a32
124449446
132916831
141a35858
151228360
hexc6f336

13038390 has 48 divisors (see below), whose sum is σ = 34087248. Its totient is φ = 3457728.

The previous prime is 13038373. The next prime is 13038391. The reversal of 13038390 is 9383031.

It is a super-2 number, since 2×130383902 = 339999227584200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13038391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24669 + ... + 25191.

It is an arithmetic number, because the mean of its divisors is an integer number (710151).

Almost surely, 213038390 is an apocalyptic number.

13038390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13038390 is an abundant number, since it is smaller than the sum of its proper divisors (21048858).

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

13038390 is a wasteful number, since it uses less digits than its factorization.

13038390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13038390 is about 3610.8710860400. The cubic root of 13038390 is about 235.3646970498.

The spelling of 13038390 in words is "thirteen million, thirty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 277 523 554 831 1046 1385 1569 1662 2493 2615 2770 3138 4155 4707 4986 5230 7845 8310 9414 12465 15690 23535 24930 47070 144871 289742 434613 724355 869226 1303839 1448710 2173065 2607678 4346130 6519195 13038390