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60132 = 2235011
BaseRepresentation
bin1110101011100100
310001111010
432223210
53411012
61142220
7340212
oct165344
9101433
1060132
11411a6
122a970
13214a7
1417cb2
1512c3c
hexeae4

60132 has 12 divisors (see below), whose sum is σ = 140336. Its totient is φ = 20040.

The previous prime is 60127. The next prime is 60133. The reversal of 60132 is 23106.

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

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

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: 5011 = 60132 / (6 + 0 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (60133) by changing a digit.

60132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2494 + ... + 2517.

260132 is an apocalyptic number.

It is an amenable number.

60132 is an abundant number, since it is smaller than the sum of its proper divisors (80204).

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 (70168).

60132 is a wasteful number, since it uses less digits than its factorization.

60132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 60132 is about 245.2182701187. The cubic root of 60132 is about 39.1773644135.

Adding to 60132 its reverse (23106), we get a palindrome (83238).

The spelling of 60132 in words is "sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 5011 10022 15033 20044 30066 60132