Search a number
-
+
132464232 = 233216311287
BaseRepresentation
bin1111110010100…
…11111001101000
3100020020212202200
413321103321220
5232402323412
621051100200
73165633045
oct771237150
9306225680
10132464232
116885537a
1238441660
132159c304
14138421cc
15b9689dc
hex7e53e68

132464232 has 48 divisors (see below), whose sum is σ = 360990240. Its totient is φ = 43879968.

The previous prime is 132464231. The next prime is 132464237. The reversal of 132464232 is 232464231.

132464232 is a `hidden beast` number, since 13 + 2 + 4 + 642 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132464196 and 132464205.

It is not an unprimeable number, because it can be changed into a prime (132464231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6093 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (7520630).

Almost surely, 2132464232 is an apocalyptic number.

132464232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132464232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180495120).

132464232 is an abundant number, since it is smaller than the sum of its proper divisors (228526008).

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

132464232 is a wasteful number, since it uses less digits than its factorization.

132464232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462 (or 11455 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 132464232 is about 11509.3106657176. The cubic root of 132464232 is about 509.7605334834.

Subtracting 132464232 from its reverse (232464231), we obtain a palindrome (99999999).

It can be divided in two parts, 1324 and 64232, that added together give a palindrome (65556).

The spelling of 132464232 in words is "one hundred thirty-two million, four hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11287 11736 22574 33861 45148 67722 90296 101583 135444 203166 270888 406332 812664 1839781 3679562 5519343 7359124 11038686 14718248 16558029 22077372 33116058 44154744 66232116 132464232