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13281930 = 2325178681
BaseRepresentation
bin110010101010…
…101010001010
3220222210101100
4302222222022
511400010210
61152402230
7220615554
oct62525212
926883340
1013281930
117551a02
124546376
1329a063c
141a9a4d4
1512755c0
hexcaaa8a

13281930 has 48 divisors (see below), whose sum is σ = 36568584. Its totient is φ = 3333120.

The previous prime is 13281911. The next prime is 13281941. The reversal of 13281930 is 3918231.

It can be written as a sum of positive squares in 4 ways, for example, as 13024881 + 257049 = 3609^2 + 507^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13281894 and 13281903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2811 + ... + 5870.

Almost surely, 213281930 is an apocalyptic number.

13281930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13281930 is an abundant number, since it is smaller than the sum of its proper divisors (23286654).

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

13281930 is a wasteful number, since it uses less digits than its factorization.

13281930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8708 counting only the distinct ones).

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

The square root of 13281930 is about 3644.4382283145. The cubic root of 13281930 is about 236.8211009053.

The spelling of 13281930 in words is "thirteen million, two hundred eighty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 8681 17362 26043 43405 52086 78129 86810 130215 147577 156258 260430 295154 390645 442731 737885 781290 885462 1328193 1475770 2213655 2656386 4427310 6640965 13281930