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14004256 = 257101619
BaseRepresentation
bin110101011011…
…000000100000
3222100111020011
4311123000200
512041114011
61220054304
7230014510
oct65330040
928314204
1014004256
1179a5672
124834394
132b94356
141c07840
151369621
hexd5b020

14004256 has 48 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 5932800.

The previous prime is 14004233. The next prime is 14004257. The reversal of 14004256 is 65240041.

It is a super-2 number, since 2×140042562 = 392238372227072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22315 + ... + 22933.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 214004256 is an apocalyptic number.

14004256 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 14004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

14004256 is an abundant number, since it is smaller than the sum of its proper divisors (17868704).

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

14004256 is a wasteful number, since it uses less digits than its factorization.

14004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 14004256 is about 3742.2260754797. The cubic root of 14004256 is about 241.0386467180.

Adding to 14004256 its reverse (65240041), we get a palindrome (79244297).

The spelling of 14004256 in words is "fourteen million, four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 619 707 808 1238 1414 1616 2476 2828 3232 4333 4952 5656 8666 9904 11312 17332 19808 22624 34664 62519 69328 125038 138656 250076 437633 500152 875266 1000304 1750532 2000608 3501064 7002128 14004256