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12680544 = 253235743
BaseRepresentation
bin110000010111…
…110101100000
3212212020102210
4300113311200
511221234134
61131442120
7212532342
oct60276540
925766383
1012680544
117181098
1242b6340
13281c9a6
141981292
1511a72e9
hexc17d60

12680544 has 48 divisors (see below), whose sum is σ = 34739712. Its totient is φ = 4042368.

The previous prime is 12680537. The next prime is 12680557. The reversal of 12680544 is 44508621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126805442 = 321592392271872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 664 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (723744).

Almost surely, 212680544 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 12680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369856).

12680544 is an abundant number, since it is smaller than the sum of its proper divisors (22059168).

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

12680544 is a wasteful number, since it uses less digits than its factorization.

12680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12680544 is about 3560.9751473438. The cubic root of 12680544 is about 233.1914529749.

The spelling of 12680544 in words is "twelve million, six hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5743 11486 17229 22972 34458 45944 68916 91888 132089 137832 183776 264178 275664 396267 528356 551328 792534 1056712 1585068 2113424 3170136 4226848 6340272 12680544