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14912112 = 2431983197
BaseRepresentation
bin111000111000…
…101001110000
31001001121120110
4320320221300
512304141422
61251341320
7240515355
oct70705160
931047513
1014912112
118465766
124bb1840
133121647
141da262c
15149860c
hexe38a70

14912112 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 4628736.

The previous prime is 14912089. The next prime is 14912137. The reversal of 14912112 is 21121941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75598 + ... + 75794.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 214912112 is an apocalyptic number.

14912112 is a gapful number since it is divisible by the number (12) 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 14912112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

14912112 is an abundant number, since it is smaller than the sum of its proper divisors (26335248).

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

14912112 is a wasteful number, since it uses less digits than its factorization.

14912112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 14912112 is about 3861.6203852787. The cubic root of 14912112 is about 246.1385959703.

The spelling of 14912112 in words is "fourteen million, nine hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 197 228 249 304 332 394 456 498 591 664 788 912 996 1182 1328 1576 1577 1992 2364 3152 3154 3743 3984 4728 4731 6308 7486 9456 9462 11229 12616 14972 16351 18924 22458 25232 29944 32702 37848 44916 49053 59888 65404 75696 89832 98106 130808 179664 196212 261616 310669 392424 621338 784848 932007 1242676 1864014 2485352 3728028 4970704 7456056 14912112