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12131392 = 267132083
BaseRepresentation
bin101110010001…
…110001000000
3211211100010211
4232101301000
511101201032
61112003504
7205054330
oct56216100
924740124
1012131392
116936549
124090594
132689a50
14187b0c0
1510e9747
hexb91c40

12131392 has 56 divisors (see below), whose sum is σ = 29642816. Its totient is φ = 4796928.

The previous prime is 12131389. The next prime is 12131393. The reversal of 12131392 is 29313121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×121313923 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12131393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4783 + ... + 6865.

It is an arithmetic number, because the mean of its divisors is an integer number (529336).

Almost surely, 212131392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821408).

12131392 is an abundant number, since it is smaller than the sum of its proper divisors (17511424).

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

12131392 is a wasteful number, since it uses less digits than its factorization.

12131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2105 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 12131392 is about 3483.0147860725. The cubic root of 12131392 is about 229.7754077288.

It can be divided in two parts, 121 and 31392, that added together give a palindrome (31513).

The spelling of 12131392 in words is "twelve million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2083 2912 4166 5824 8332 14581 16664 27079 29162 33328 54158 58324 66656 108316 116648 133312 189553 216632 233296 379106 433264 466592 758212 866528 933184 1516424 1733056 3032848 6065696 12131392