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13706924 = 22711191233
BaseRepresentation
bin110100010010…
…011010101100
3221210101100212
4310102122230
512002110144
61205441552
7224335610
oct64223254
927711325
1013706924
117812240
1247102b8
132abbc0a
141b6b340
15130b49e
hexd126ac

13706924 has 48 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 5289600.

The previous prime is 13706881. The next prime is 13706933. The reversal of 13706924 is 42960731.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 58712 + ... + 58944.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 213706924 is an apocalyptic number.

13706924 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 13706924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

13706924 is an abundant number, since it is smaller than the sum of its proper divisors (16484692).

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

13706924 is a wasteful number, since it uses less digits than its factorization.

13706924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 13706924 is about 3702.2863206403. The cubic root of 13706924 is about 239.3205551449.

The spelling of 13706924 in words is "thirteen million, seven hundred six thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 233 308 382 466 764 932 1337 1631 2101 2563 2674 3262 4202 5126 5348 6524 8404 10252 14707 17941 29414 35882 44503 58828 71764 89006 178012 311521 489533 623042 979066 1246084 1958132 3426731 6853462 13706924