Search a number
-
+
63132 = 2235261
BaseRepresentation
bin1111011010011100
310012121020
433122130
54010012
61204140
7352026
oct173234
9105536
1063132
1143483
1230650
1322974
1419016
1513a8c
hexf69c

63132 has 12 divisors (see below), whose sum is σ = 147336. Its totient is φ = 21040.

The previous prime is 63131. The next prime is 63149. The reversal of 63132 is 23136.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63131) 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, 2619 + ... + 2642.

It is an arithmetic number, because the mean of its divisors is an integer number (12278).

263132 is an apocalyptic number.

It is an amenable number.

63132 is an abundant number, since it is smaller than the sum of its proper divisors (84204).

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 (73668).

63132 is a wasteful number, since it uses less digits than its factorization.

63132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5266 counting only the distinct ones).

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

The square root of 63132 is about 251.2608206625. The cubic root of 63132 is about 39.8183429333.

Adding to 63132 its reverse (23136), we get a palindrome (86268).

The spelling of 63132 in words is "sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 5261 10522 15783 21044 31566 63132