Search a number
-
+
12142032 = 243736137
BaseRepresentation
bin101110010100…
…010111010000
3211211212201220
4232110113100
511102021112
61112125040
7205130340
oct56242720
924755656
1012142032
116943541
124096780
132691846
141880d20
1510ec98c
hexb945d0

12142032 has 40 divisors (see below), whose sum is σ = 35848896. Its totient is φ = 3469056.

The previous prime is 12142019. The next prime is 12142037. The reversal of 12142032 is 23024121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142037) 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 7 ways as a sum of consecutive naturals, for example, 17733 + ... + 18404.

Almost surely, 212142032 is an apocalyptic number.

12142032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12142032 is an abundant number, since it is smaller than the sum of its proper divisors (23706864).

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

12142032 is a wasteful number, since it uses less digits than its factorization.

12142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36155 (or 36149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12142032 is about 3484.5418637175. The cubic root of 12142032 is about 229.8425639665.

Adding to 12142032 its reverse (23024121), we get a palindrome (35166153).

The spelling of 12142032 in words is "twelve million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 36137 72274 108411 144548 216822 252959 289096 433644 505918 578192 758877 867288 1011836 1517754 1734576 2023672 3035508 4047344 6071016 12142032