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13133412 = 2232973761
BaseRepresentation
bin110010000110…
…011001100100
3220201020122200
4302012121210
511330232122
61145254500
7216426555
oct62063144
926636580
1013133412
117460366
124494430
13294ab66
141a5c32c
1512465ac
hexc86664

13133412 has 36 divisors (see below), whose sum is σ = 33549516. Its totient is φ = 4331520.

The previous prime is 13133411. The next prime is 13133423. The reversal of 13133412 is 21433131.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 7257636 = 2424^2 + 2694^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13133411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1612 + ... + 5372.

It is an arithmetic number, because the mean of its divisors is an integer number (931931).

Almost surely, 213133412 is an apocalyptic number.

13133412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13133412 is an abundant number, since it is smaller than the sum of its proper divisors (20416104).

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

13133412 is a wasteful number, since it uses less digits than its factorization.

13133412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3863 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13133412 is about 3624.0049668840. The cubic root of 13133412 is about 235.9350822114.

Adding to 13133412 its reverse (21433131), we get a palindrome (34566543).

The spelling of 13133412 in words is "thirteen million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 3761 7522 11283 15044 22566 33849 45132 67698 135396 364817 729634 1094451 1459268 2188902 3283353 4377804 6566706 13133412