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14084096 = 21113232
BaseRepresentation
bin110101101110…
…100000000000
3222111112202012
4311232200000
512101142341
61221512052
7230466335
oct65564000
928445665
1014084096
117a4a654
124872628
132bc17b0
141c2898c
1513830eb
hexd6e800

14084096 has 72 divisors (see below), whose sum is σ = 31703490. Its totient is φ = 6217728.

The previous prime is 14084093. The next prime is 14084099. The reversal of 14084096 is 69048041.

It is an interprime number because it is at equal distance from previous prime (14084093) and next prime (14084099).

It can be written as a sum of positive squares in only one way, i.e., 13542400 + 541696 = 3680^2 + 736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14084093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 612341 + ... + 612363.

Almost surely, 214084096 is an apocalyptic number.

14084096 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 14084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851745).

14084096 is an abundant number, since it is smaller than the sum of its proper divisors (17619394).

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

14084096 is an equidigital number, since it uses as much as digits as its factorization.

14084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 14084096 is about 3752.8783620043. The cubic root of 14084096 is about 241.4958427100.

The spelling of 14084096 in words is "fourteen million, eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 529 598 736 832 1024 1058 1196 1472 1664 2048 2116 2392 2944 3328 4232 4784 5888 6656 6877 8464 9568 11776 13312 13754 16928 19136 23552 26624 27508 33856 38272 47104 55016 67712 76544 110032 135424 153088 220064 270848 306176 440128 541696 612352 880256 1083392 1760512 3521024 7042048 14084096