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12040964 = 22131753257
BaseRepresentation
bin101101111011…
…101100000100
3211122202002122
4231323230010
511040302324
61110025112
7204226565
oct55735404
924582078
1012040964
116884611
124048198
132657840
14185616c
1510cca5e
hexb7bb04

12040964 has 48 divisors (see below), whose sum is σ = 24576048. Its totient is φ = 5111808.

The previous prime is 12040957. The next prime is 12040967. The reversal of 12040964 is 46904021.

It can be written as a sum of positive squares in 8 ways, for example, as 1800964 + 10240000 = 1342^2 + 3200^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040967) 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, 46724 + ... + 46980.

It is an arithmetic number, because the mean of its divisors is an integer number (512001).

Almost surely, 212040964 is an apocalyptic number.

It is an amenable number.

12040964 is an abundant number, since it is smaller than the sum of its proper divisors (12535084).

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

12040964 is a wasteful number, since it uses less digits than its factorization.

12040964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12040964 is about 3470.0092218898. The cubic root of 12040964 is about 229.2030641619.

Adding to 12040964 its reverse (46904021), we get a palindrome (58944985).

It can be divided in two parts, 120409 and 64, that multiplied together give a square (7706176 = 27762).

The spelling of 12040964 in words is "twelve million, forty thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 53 68 106 212 221 257 442 514 689 884 901 1028 1378 1802 2756 3341 3604 4369 6682 8738 11713 13364 13621 17476 23426 27242 46852 54484 56797 113594 177073 227188 231557 354146 463114 708292 926228 3010241 6020482 12040964