Search a number
-
+
42132 = 2233511
BaseRepresentation
bin1010010010010100
32010210110
422102110
52322012
6523020
7233556
oct122224
963713
1042132
1129722
1220470
131623c
14114d6
15c73c
hexa494

42132 has 12 divisors (see below), whose sum is σ = 98336. Its totient is φ = 14040.

The previous prime is 42131. The next prime is 42139. The reversal of 42132 is 23124.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 3511 = 42132 / (4 + 2 + 1 + 3 + 2).

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

It is a plaindrome in base 7 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1744 + ... + 1767.

242132 is an apocalyptic number.

It is an amenable number.

42132 is an abundant number, since it is smaller than the sum of its proper divisors (56204).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49168).

42132 is a wasteful number, since it uses less digits than its factorization.

42132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3516 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 42132 is about 205.2608097032. The cubic root of 42132 is about 34.7966438830.

Adding to 42132 its reverse (23124), we get a palindrome (65256).

The spelling of 42132 in words is "forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 3511 7022 10533 14044 21066 42132