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12677136 = 2431092423
BaseRepresentation
bin110000010111…
…000000010000
3212212001202120
4300113000100
511221132021
61131414240
7212516403
oct60270020
925761676
1012677136
11717957a
1242b4380
13281b284
14197dd3a
1511a62c6
hexc17010

12677136 has 40 divisors (see below), whose sum is σ = 33063360. Its totient is φ = 4185216.

The previous prime is 12677111. The next prime is 12677141. The reversal of 12677136 is 63177621.

It is a junction number, because it is equal to n+sod(n) for n = 12677097 and 12677106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4021 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (826584).

Almost surely, 212677136 is an apocalyptic number.

12677136 is a gapful number since it is divisible by the number (16) 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 12677136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531680).

12677136 is an abundant number, since it is smaller than the sum of its proper divisors (20386224).

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

12677136 is a wasteful number, since it uses less digits than its factorization.

12677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2537 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 12677136 is about 3560.4965945778. The cubic root of 12677136 is about 233.1705603992.

The spelling of 12677136 in words is "twelve million, six hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2423 2616 4846 5232 7269 9692 14538 19384 29076 38768 58152 116304 264107 528214 792321 1056428 1584642 2112856 3169284 4225712 6338568 12677136