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14931084 = 2237267379
BaseRepresentation
bin111000111101…
…010010001100
31001002120121010
4320331102030
512310243314
61252005220
7240624600
oct70752214
931076533
1014931084
118478a43
125000810
13312a17c
141da9500
15149e059
hexe3d48c

14931084 has 72 divisors (see below), whose sum is σ = 41240640. Its totient is φ = 4191264.

The previous prime is 14931073. The next prime is 14931089. The reversal of 14931084 is 48013941.

14931084 = T69 + T70 + ... + T447.

It is a happy number.

14931084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14931089) 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, 39207 + ... + 39585.

Almost surely, 214931084 is an apocalyptic number.

14931084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14931084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20620320).

14931084 is an abundant number, since it is smaller than the sum of its proper divisors (26309556).

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

14931084 is a wasteful number, since it uses less digits than its factorization.

14931084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14931084 is about 3864.0760862074. The cubic root of 14931084 is about 246.2429353707.

The spelling of 14931084 in words is "fourteen million, nine hundred thirty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 379 402 469 588 758 804 938 1137 1407 1516 1876 2274 2653 2814 3283 4548 5306 5628 6566 7959 9849 10612 13132 15918 18571 19698 25393 31836 37142 39396 50786 55713 74284 76179 101572 111426 152358 177751 222852 304716 355502 533253 711004 1066506 1244257 2133012 2488514 3732771 4977028 7465542 14931084