Search a number
-
+
12749112 = 23321131567
BaseRepresentation
bin110000101000…
…100100111000
3212222201111100
4300220210320
511230432422
61133131400
7213236265
oct60504470
925881440
1012749112
117218662
124329b60
132844c6c
14199c26c
1511bc7ac
hexc28938

12749112 has 48 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4209408.

The previous prime is 12749111. The next prime is 12749123. The reversal of 12749112 is 21194721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12749111) 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, 7353 + ... + 8919.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 212749112 is an apocalyptic number.

12749112 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 12749112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

12749112 is an abundant number, since it is smaller than the sum of its proper divisors (22107528).

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

12749112 is a wasteful number, since it uses less digits than its factorization.

12749112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1685 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12749112 is about 3570.5898672348. The cubic root of 12749112 is about 233.6110127259.

The spelling of 12749112 in words is "twelve million, seven hundred forty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1567 2034 2712 3134 4068 4701 6268 8136 9402 12536 14103 18804 28206 37608 56412 112824 177071 354142 531213 708284 1062426 1416568 1593639 2124852 3187278 4249704 6374556 12749112