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12914496 = 263273203
BaseRepresentation
bin110001010000…
…111101000000
3220022010100200
4301100331000
511301230441
61140445200
7214525410
oct61207500
926263320
1012914496
117320941
1243a9800
1328a231a
141a02640
1512017b6
hexc50f40

12914496 has 84 divisors (see below), whose sum is σ = 42318432. Its totient is φ = 3688704.

The previous prime is 12914453. The next prime is 12914497. The reversal of 12914496 is 69441921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12914496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12914497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2431 + ... + 5633.

Almost surely, 212914496 is an apocalyptic number.

12914496 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 12914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159216).

12914496 is an abundant number, since it is smaller than the sum of its proper divisors (29403936).

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

12914496 is a wasteful number, since it uses less digits than its factorization.

12914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3215 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12914496 is about 3593.6744426840. The cubic root of 12914496 is about 234.6168253882.

The spelling of 12914496 in words is "twelve million, nine hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3203 4032 6406 9609 12812 19218 22421 25624 28827 38436 44842 51248 57654 67263 76872 89684 102496 115308 134526 153744 179368 201789 204992 230616 269052 307488 358736 403578 461232 538104 614976 717472 807156 922464 1076208 1434944 1614312 1844928 2152416 3228624 4304832 6457248 12914496