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14085904 = 247314057
BaseRepresentation
bin110101101110…
…111100010000
3222111122020011
4311232330100
512101222104
61221524304
7230504530
oct65567420
928448204
1014085904
117a50a48
124873694
132bc2571
141c294c0
151383904
hexd6ef10

14085904 has 40 divisors (see below), whose sum is σ = 32204288. Its totient is φ = 5840640.

The previous prime is 14085893. The next prime is 14085931. The reversal of 14085904 is 40958041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 7 ways as a sum of consecutive naturals, for example, 1444 + ... + 5500.

Almost surely, 214085904 is an apocalyptic number.

14085904 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 14085904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16102144).

14085904 is an abundant number, since it is smaller than the sum of its proper divisors (18118384).

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

14085904 is a wasteful number, since it uses less digits than its factorization.

14085904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 14085904 is about 3753.1192360489. The cubic root of 14085904 is about 241.5061760155.

The spelling of 14085904 in words is "fourteen million, eighty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 4057 8114 16228 28399 32456 56798 64912 113596 125767 227192 251534 454384 503068 880369 1006136 1760738 2012272 3521476 7042952 14085904