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12660540 = 2235792671
BaseRepresentation
bin110000010010…
…111100111100
3212211012222220
4300102330330
511220114130
61131205340
7212420124
oct60227474
925735886
1012660540
117168062
1242a6850
132813859
141977c84
1511a1410
hexc12f3c

12660540 has 48 divisors (see below), whose sum is σ = 35911680. Its totient is φ = 3332160.

The previous prime is 12660523. The next prime is 12660541. The reversal of 12660540 is 4506621.

12660540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12660540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12660541) 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, 3405 + ... + 6075.

It is an arithmetic number, because the mean of its divisors is an integer number (748160).

Almost surely, 212660540 is an apocalyptic number.

12660540 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 12660540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955840).

12660540 is an abundant number, since it is smaller than the sum of its proper divisors (23251140).

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

12660540 is a wasteful number, since it uses less digits than its factorization.

12660540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12660540 is about 3558.1652575450. The cubic root of 12660540 is about 233.0687658905.

The spelling of 12660540 in words is "twelve million, six hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2671 4740 5342 8013 10684 13355 16026 26710 32052 40065 53420 80130 160260 211009 422018 633027 844036 1055045 1266054 2110090 2532108 3165135 4220180 6330270 12660540