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12649068 = 2233173677
BaseRepresentation
bin110000010000…
…001001101100
3212210122021000
4300100021230
511214232233
61131040300
7212341515
oct60201154
925718230
1012649068
11715a483
1242a0090
13280b573
141973a0c
15119cd13
hexc1026c

12649068 has 48 divisors (see below), whose sum is σ = 33032160. Its totient is φ = 4185792.

The previous prime is 12649067. The next prime is 12649111. The reversal of 12649068 is 86094621.

12649068 is a `hidden beast` number, since 1 + 2 + 649 + 0 + 6 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (12649061) 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, 18346 + ... + 19022.

It is an arithmetic number, because the mean of its divisors is an integer number (688170).

Almost surely, 212649068 is an apocalyptic number.

12649068 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 12649068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516080).

12649068 is an abundant number, since it is smaller than the sum of its proper divisors (20383092).

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

12649068 is a wasteful number, since it uses less digits than its factorization.

12649068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12649068 is about 3556.5528254196. The cubic root of 12649068 is about 232.9983483339.

It can be divided in two parts, 126 and 49068, that added together give a palindrome (49194).

The spelling of 12649068 in words is "twelve million, six hundred forty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 677 692 1038 1354 1557 2031 2076 2708 3114 4062 4671 6093 6228 8124 9342 12186 18279 18684 24372 36558 73116 117121 234242 351363 468484 702726 1054089 1405452 2108178 3162267 4216356 6324534 12649068