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14820096 = 28323839
BaseRepresentation
bin111000100010…
…001100000000
31000212221100110
4320202030000
512243220341
61245351320
7236653164
oct70421400
930787313
1014820096
118402615
124b68540
1330bb7b5
141d7aca4
15147b216
hexe22300

14820096 has 72 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 4719616.

The previous prime is 14820089. The next prime is 14820121. The reversal of 14820096 is 69002841.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17245 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 214820096 is an apocalyptic number.

14820096 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 14820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

14820096 is an abundant number, since it is smaller than the sum of its proper divisors (26386944).

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

14820096 is an equidigital number, since it uses as much as digits as its factorization.

14820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14820096 is about 3849.6877795478. The cubic root of 14820096 is about 245.6312805211.

The spelling of 14820096 in words is "fourteen million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 839 1104 1472 1678 2208 2517 2944 3356 4416 5034 5888 6712 8832 10068 13424 17664 19297 20136 26848 38594 40272 53696 57891 77188 80544 107392 115782 154376 161088 214784 231564 308752 322176 463128 617504 644352 926256 1235008 1852512 2470016 3705024 4940032 7410048 14820096