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12760540 = 22513172887
BaseRepresentation
bin110000101011…
…010111011100
3220000022011121
4300223113130
511231314130
61133300324
7213314512
oct60532734
926008147
1012760540
117226201
1243346a4
13284a220
1419a24b2
1511c0d7a
hexc2b5dc

12760540 has 48 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 4432896.

The previous prime is 12760513. The next prime is 12760543. The reversal of 12760540 is 4506721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12760543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 212760540 is an apocalyptic number.

12760540 is a gapful number since it is divisible by the number (10) 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 12760540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

12760540 is an abundant number, since it is smaller than the sum of its proper divisors (17806052).

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

12760540 is a wasteful number, since it uses less digits than its factorization.

12760540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 12760540 is about 3572.1898045877. The cubic root of 12760540 is about 233.6807929941.

The spelling of 12760540 in words is "twelve million, seven hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2887 4420 5774 11548 14435 28870 37531 49079 57740 75062 98158 150124 187655 196316 245395 375310 490790 638027 750620 981580 1276054 2552108 3190135 6380270 12760540