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13974930 = 239571
BaseRepresentation
bin110101010011…
…110110010010
3222022000000000
4311103312102
512034144210
61215310430
7226533144
oct65236622
928260000
1013974930
117985632
12481b416
132b83bb8
141bdac94
151360ac0
hexd53d92

13974930 has 80 divisors (see below), whose sum is σ = 38263104. Its totient is φ = 3674160.

The previous prime is 13974929. The next prime is 13974941. The reversal of 13974930 is 3947931.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196795 + ... + 196865.

Almost surely, 213974930 is an apocalyptic number.

13974930 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 13974930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131552).

13974930 is an abundant number, since it is smaller than the sum of its proper divisors (24288174).

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

13974930 is an frugal number, since it uses more digits than its factorization.

13974930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 13974930 is about 3738.3057659854. The cubic root of 13974930 is about 240.8702779203.

The spelling of 13974930 in words is "thirteen million, nine hundred seventy-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 243 270 355 405 426 486 639 710 729 810 1065 1215 1278 1458 1917 2130 2187 2430 3195 3645 3834 4374 5751 6390 6561 7290 9585 10935 11502 13122 17253 19170 19683 21870 28755 32805 34506 39366 51759 57510 65610 86265 98415 103518 155277 172530 196830 258795 310554 465831 517590 776385 931662 1397493 1552770 2329155 2794986 4658310 6987465 13974930