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12135942 = 23271331239
BaseRepresentation
bin101110010010…
…111000000110
3211211120101100
4232102320012
511101322232
61112040530
7205103520
oct56227006
924746340
1012135942
116939a05
124093146
13268bb40
14187ca10
1510eac7c
hexb92e06

12135942 has 96 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 3084480.

The previous prime is 12135941. The next prime is 12135967. The reversal of 12135942 is 24953121.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50659 + ... + 50897.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 212135942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120).

12135942 is an abundant number, since it is smaller than the sum of its proper divisors (21410298).

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

12135942 is a wasteful number, since it uses less digits than its factorization.

12135942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12135942 is about 3483.6678946191. The cubic root of 12135942 is about 229.8041306604.

It can be divided in two parts, 121 and 35942, that added together give a palindrome (36063).

The spelling of 12135942 in words is "twelve million, one hundred thirty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 239 273 279 403 434 478 546 558 651 717 806 819 1209 1302 1434 1638 1673 1953 2151 2418 2821 3107 3346 3627 3906 4302 5019 5642 6214 7254 7409 8463 9321 10038 14818 15057 16926 18642 21749 22227 25389 27963 30114 43498 44454 50778 51863 55926 65247 66681 96317 103726 130494 133362 155589 192634 195741 288951 311178 391482 466767 577902 674219 866853 933534 1348438 1733706 2022657 4045314 6067971 12135942