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12644112 = 2431323881
BaseRepresentation
bin110000001110…
…111100010000
3212210101110110
4300032330100
511214102422
61131001320
7212321205
oct60167420
925711413
1012644112
117156788
124299240
132809230
141971cac
15119b60c
hexc0ef10

12644112 has 80 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 3717120.

The previous prime is 12644077. The next prime is 12644119. The reversal of 12644112 is 21144621.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12644119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13912 + ... + 14792.

Almost surely, 212644112 is an apocalyptic number.

12644112 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 12644112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

12644112 is an abundant number, since it is smaller than the sum of its proper divisors (24103536).

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

12644112 is a wasteful number, since it uses less digits than its factorization.

12644112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12644112 is about 3555.8560150827. The cubic root of 12644112 is about 232.9679141902.

Adding to 12644112 its reverse (21144621), we get a palindrome (33788733).

The spelling of 12644112 in words is "twelve million, six hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 881 897 1104 1196 1762 1794 2392 2643 3524 3588 4784 5286 7048 7176 10572 11453 14096 14352 20263 21144 22906 34359 40526 42288 45812 60789 68718 81052 91624 121578 137436 162104 183248 243156 263419 274872 324208 486312 526838 549744 790257 972624 1053676 1580514 2107352 3161028 4214704 6322056 12644112