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14014976 = 2931883
BaseRepresentation
bin110101011101…
…101000000000
3222101000221012
4311131220000
512041434401
61220220052
7230060663
oct65355000
928330835
1014014976
117a02728
12483a628
132b991b1
141c0b6da
15136c8bb
hexd5da00

14014976 has 40 divisors (see below), whose sum is σ = 28938624. Its totient is φ = 6773760.

The previous prime is 14014969. The next prime is 14014997. The reversal of 14014976 is 67941041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15431 + ... + 16313.

Almost surely, 214014976 is an apocalyptic number.

14014976 is a gapful number since it is divisible by the number (16) 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 14014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469312).

14014976 is an abundant number, since it is smaller than the sum of its proper divisors (14923648).

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

14014976 is an frugal number, since it uses more digits than its factorization.

14014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 14014976 is about 3743.6581040474. The cubic root of 14014976 is about 241.1001345794.

The spelling of 14014976 in words is "fourteen million, fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 883 992 1766 1984 3532 3968 7064 7936 14128 15872 27373 28256 54746 56512 109492 113024 218984 226048 437968 452096 875936 1751872 3503744 7007488 14014976