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12914208 = 253314947
BaseRepresentation
bin110001010000…
…111000100000
3220022002222000
4301100320200
511301223313
61140444000
7214524516
oct61207040
926262860
1012914208
1173206aa
1243a9600
1328a2158
141a024b6
151201673
hexc50e20

12914208 has 48 divisors (see below), whose sum is σ = 37668960. Its totient is φ = 4304448.

The previous prime is 12914207. The next prime is 12914267. The reversal of 12914208 is 80241921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12914207) 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, 6610 + ... + 8337.

It is an arithmetic number, because the mean of its divisors is an integer number (784770).

Almost surely, 212914208 is an apocalyptic number.

12914208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12914208 is an abundant number, since it is smaller than the sum of its proper divisors (24754752).

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

12914208 is a wasteful number, since it uses less digits than its factorization.

12914208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14952 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12914208 is about 3593.6343720529. The cubic root of 12914208 is about 234.6150813494.

The spelling of 12914208 in words is "twelve million, nine hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14947 29894 44841 59788 89682 119576 134523 179364 239152 269046 358728 403569 478304 538092 717456 807138 1076184 1434912 1614276 2152368 3228552 4304736 6457104 12914208