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12135940 = 225531072
BaseRepresentation
bin101110010010…
…111000000100
3211211120101021
4232102320010
511101322230
61112040524
7205103515
oct56227004
924746337
1012135940
116939a03
124093144
13268bb3b
14187ca0c
1510eac7a
hexb92e04

12135940 has 36 divisors (see below), whose sum is σ = 26211276. Its totient is φ = 4718272.

The previous prime is 12135931. The next prime is 12135941. The reversal of 12135940 is 4953121.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 5541316 = 2568^2 + 2354^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135941) 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, 113367 + ... + 113473.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 212135940 is an apocalyptic number.

12135940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135940 is an abundant number, since it is smaller than the sum of its proper divisors (14075336).

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

12135940 is a wasteful number, since it uses less digits than its factorization.

12135940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 12135940 is about 3483.6676075653. The cubic root of 12135940 is about 229.8041180365.

The spelling of 12135940 in words is "twelve million, one hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 107 212 214 265 428 530 535 1060 1070 2140 5671 11342 11449 22684 22898 28355 45796 56710 57245 113420 114490 228980 606797 1213594 2427188 3033985 6067970 12135940