Search a number
-
+
132234600 = 23352220391
BaseRepresentation
bin1111110000110…
…11110101101000
3100012211012202210
413320123311220
5232323001400
621042125120
73163655421
oct770336550
9305735683
10132234600
11687088a3
12383507a0
132151b934
14137c2648
15b920950
hex7e1bd68

132234600 has 48 divisors (see below), whose sum is σ = 409929120. Its totient is φ = 35262400.

The previous prime is 132234587. The next prime is 132234601. The reversal of 132234600 is 6432231.

It is a happy number.

132234600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132234601) 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, 109596 + ... + 110795.

It is an arithmetic number, because the mean of its divisors is an integer number (8540190).

Almost surely, 2132234600 is an apocalyptic number.

132234600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132234600 is an abundant number, since it is smaller than the sum of its proper divisors (277694520).

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

132234600 is a wasteful number, since it uses less digits than its factorization.

132234600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220410 (or 220401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132234600 is about 11499.3304152894. The cubic root of 132234600 is about 509.4657997392.

Adding to 132234600 its reverse (6432231), we get a palindrome (138666831).

The spelling of 132234600 in words is "one hundred thirty-two million, two hundred thirty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 220391 440782 661173 881564 1101955 1322346 1763128 2203910 2644692 3305865 4407820 5289384 5509775 6611730 8815640 11019550 13223460 16529325 22039100 26446920 33058650 44078200 66117300 132234600