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12914748 = 22337111553
BaseRepresentation
bin110001010001…
…000000111100
3220022010201000
4301101000330
511301232443
61140450300
7214526220
oct61210074
926263630
1012914748
117321050
1243a9990
1328a2482
141a02780
1512018d3
hexc5103c

12914748 has 96 divisors (see below), whose sum is σ = 41771520. Its totient is φ = 3352320.

The previous prime is 12914743. The next prime is 12914761. The reversal of 12914748 is 84741921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12914743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7540 + ... + 9092.

It is an arithmetic number, because the mean of its divisors is an integer number (435120).

Almost surely, 212914748 is an apocalyptic number.

12914748 is a gapful number since it is divisible by the number (18) 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 12914748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885760).

12914748 is an abundant number, since it is smaller than the sum of its proper divisors (28856772).

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

12914748 is a wasteful number, since it uses less digits than its factorization.

12914748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12914748 is about 3593.7095041197. The cubic root of 12914748 is about 234.6183514010.

The spelling of 12914748 in words is "twelve million, nine hundred fourteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 1553 2079 2772 3106 4158 4659 6212 8316 9318 10871 13977 17083 18636 21742 27954 32613 34166 41931 43484 51249 55908 65226 68332 83862 97839 102498 119581 130452 153747 167724 195678 204996 239162 293517 307494 358743 391356 461241 478324 587034 614988 717486 922482 1076229 1174068 1434972 1844964 2152458 3228687 4304916 6457374 12914748