Search a number
-
+
132012304 = 24192271913
BaseRepresentation
bin1111101111001…
…01100100010000
3100012101220211121
413313211210100
5232243343204
621033252024
73162041344
oct767454420
9305356747
10132012304
1168576886
1238264014
13214716b8
1413765624
15b8c9b54
hex7de5910

132012304 has 40 divisors (see below), whose sum is σ = 270563040. Its totient is φ = 62224128.

The previous prime is 132012301. The next prime is 132012343. The reversal of 132012304 is 403210231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132012301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68052 + ... + 69964.

It is an arithmetic number, because the mean of its divisors is an integer number (6764076).

Almost surely, 2132012304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135281520).

132012304 is an abundant number, since it is smaller than the sum of its proper divisors (138550736).

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

132012304 is a wasteful number, since it uses less digits than its factorization.

132012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132012304 is about 11489.6607434685. The cubic root of 132012304 is about 509.1801565704.

Adding to 132012304 its reverse (403210231), we get a palindrome (535222535).

The spelling of 132012304 in words is "one hundred thirty-two million, twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 227 304 454 908 1816 1913 3632 3826 4313 7652 8626 15304 17252 30608 34504 36347 69008 72694 145388 290776 434251 581552 868502 1737004 3474008 6948016 8250769 16501538 33003076 66006152 132012304