Search a number
-
+
2313132 = 223533637
BaseRepresentation
bin1000110100101110101100
311100112000120
420310232230
51043010012
6121324540
725442553
oct10645654
94315016
102313132
11133a988
12936750
1362cb23
14442d9a
1530a58c
hex234bac

2313132 has 24 divisors (see below), whose sum is σ = 5500656. Its totient is φ = 756288.

The previous prime is 2313107. The next prime is 2313137.

2313132 is nontrivially palindromic in base 10.

2313132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2313137) 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, 1183 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (229194).

22313132 is an apocalyptic number.

It is an amenable number.

2313132 is an abundant number, since it is smaller than the sum of its proper divisors (3187524).

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

2313132 is a wasteful number, since it uses less digits than its factorization.

2313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3695 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 2313132 is about 1520.8984186986. The cubic root of 2313132 is about 132.2513576022.

The spelling of 2313132 in words is "two million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 3637 7274 10911 14548 21822 43644 192761 385522 578283 771044 1156566 2313132