Search a number
-
+
132239268 = 223274112799
BaseRepresentation
bin1111110000111…
…00111110100100
3100012211110011200
413320130332210
5232323124033
621042202500
73164005140
oct770347644
9305743150
10132239268
1168711357
1238353430
1321520ab5
14137c4220
15b922013
hex7e1cfa4

132239268 has 72 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 36858240.

The previous prime is 132239257. The next prime is 132239269. The reversal of 132239268 is 862932231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132239269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3933 + ... + 16731.

Almost surely, 2132239268 is an apocalyptic number.

132239268 is a gapful number since it is divisible by the number (18) 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 132239268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

132239268 is an abundant number, since it is smaller than the sum of its proper divisors (259133532).

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

132239268 is a wasteful number, since it uses less digits than its factorization.

132239268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12857 (or 12852 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 132239268 is about 11499.5333818377. The cubic root of 132239268 is about 509.4717945352.

The spelling of 132239268 in words is "one hundred thirty-two million, two hundred thirty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 12799 25598 38397 51196 76794 89593 115191 153588 179186 230382 268779 358372 460764 524759 537558 806337 1049518 1075116 1574277 1612674 2099036 3148554 3225348 3673313 4722831 6297108 7346626 9445662 11019939 14693252 18891324 22039878 33059817 44079756 66119634 132239268