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12807444 = 223131929149
BaseRepresentation
bin110000110110…
…110100010100
3220002200111210
4300312310110
511234314234
61134301420
7213601326
oct60666424
926080453
1012807444
117258471
124357870
132865690
1419b5616
1511cebe9
hexc36d14

12807444 has 96 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 3580416.

The previous prime is 12807427. The next prime is 12807449. The reversal of 12807444 is 44470821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12807449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85882 + ... + 86030.

It is an arithmetic number, because the mean of its divisors is an integer number (367500).

Almost surely, 212807444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12807444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640000).

12807444 is an abundant number, since it is smaller than the sum of its proper divisors (22472556).

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

12807444 is a wasteful number, since it uses less digits than its factorization.

12807444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 12807444 is about 3578.7489434158. The cubic root of 12807444 is about 233.9667569110.

The spelling of 12807444 in words is "twelve million, eight hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 149 156 174 228 247 298 348 377 447 494 551 596 741 754 894 988 1102 1131 1482 1508 1653 1788 1937 2204 2262 2831 2964 3306 3874 4321 4524 5662 5811 6612 7163 7748 8493 8642 11324 11622 12963 14326 16986 17284 21489 23244 25926 28652 33972 36803 42978 51852 56173 73606 82099 85956 110409 112346 147212 164198 168519 220818 224692 246297 328396 337038 441636 492594 674076 985188 1067287 2134574 3201861 4269148 6403722 12807444