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14812096 = 261319937
BaseRepresentation
bin111000100000…
…001111000000
31000212112101011
4320200033000
512242441341
61245250304
7236620645
oct70401700
930775334
1014812096
1183a7602
124b63994
1330b7c70
141d77dcc
151478b81
hexe203c0

14812096 has 56 divisors (see below), whose sum is σ = 33355280. Its totient is φ = 6469632.

The previous prime is 14812093. The next prime is 14812103. The reversal of 14812096 is 69021841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14812093) 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, 15340 + ... + 16276.

It is an arithmetic number, because the mean of its divisors is an integer number (595630).

Almost surely, 214812096 is an apocalyptic number.

14812096 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 14812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677640).

14812096 is an abundant number, since it is smaller than the sum of its proper divisors (18543184).

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

14812096 is a wasteful number, since it uses less digits than its factorization.

14812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 14812096 is about 3848.6485939872. The cubic root of 14812096 is about 245.5870746911.

The spelling of 14812096 in words is "fourteen million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 937 988 1216 1874 1976 3748 3952 7496 7904 12181 14992 15808 17803 24362 29984 35606 48724 59968 71212 97448 142424 194896 231439 284848 389792 462878 569696 779584 925756 1139392 1851512 3703024 7406048 14812096