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12131964 = 2233138641
BaseRepresentation
bin101110010001…
…111001111100
3211211100221000
4232101321330
511101210324
61112010300
7205056105
oct56217174
924740830
1012131964
116936a19
124090990
13268a0a0
14187b3ac
1510e99c9
hexb91e7c

12131964 has 48 divisors (see below), whose sum is σ = 33876640. Its totient is φ = 3732480.

The previous prime is 12131963. The next prime is 12132011. The reversal of 12131964 is 46913121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131963) 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, 2917 + ... + 5724.

Almost surely, 212131964 is an apocalyptic number.

It is an amenable number.

12131964 is an abundant number, since it is smaller than the sum of its proper divisors (21744676).

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

12131964 is a wasteful number, since it uses less digits than its factorization.

12131964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8659 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 12131964 is about 3483.0968978769. The cubic root of 12131964 is about 229.7790190063.

The spelling of 12131964 in words is "twelve million, one hundred thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 8641 17282 25923 34564 51846 77769 103692 112333 155538 224666 233307 311076 336999 449332 466614 673998 933228 1010997 1347996 2021994 3032991 4043988 6065982 12131964