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13650930 = 234519887
BaseRepresentation
bin110100000100…
…101111110010
3221200112120000
4310010233302
511443312210
61204330430
7224013426
oct64045762
927615500
1013650930
117784167
1246a3a16
132a9c597
141b54b86
1512e9ac0
hexd04bf2

13650930 has 80 divisors (see below), whose sum is σ = 38681280. Its totient is φ = 3444768.

The previous prime is 13650929. The next prime is 13650941. The reversal of 13650930 is 3905631.

13650930 is a `hidden beast` number, since 1 + 3 + 650 + 9 + 3 + 0 = 666.

13650930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13650894 and 13650903.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14947 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (483516).

Almost surely, 213650930 is an apocalyptic number.

13650930 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 13650930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340640).

13650930 is an abundant number, since it is smaller than the sum of its proper divisors (25030350).

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

13650930 is a wasteful number, since it uses less digits than its factorization.

13650930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13650930 is about 3694.7164979197. The cubic root of 13650930 is about 238.9942284864.

The spelling of 13650930 in words is "thirteen million, six hundred fifty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 887 1026 1539 1710 1774 2565 2661 3078 4435 5130 5322 7695 7983 8870 13305 15390 15966 16853 23949 26610 33706 39915 47898 50559 71847 79830 84265 101118 119745 143694 151677 168530 239490 252795 303354 359235 455031 505590 718470 758385 910062 1365093 1516770 2275155 2730186 4550310 6825465 13650930