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132324140 = 225131015039
BaseRepresentation
bin1111110001100…
…01101100101100
3100012222202121002
413320301230230
5232333333030
621044055432
73164510444
oct770615454
9305882532
10132324140
116876a0a3
1238394578
1321550610
1413807124
15b93c245
hex7e31b2c

132324140 has 48 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 48364800.

The previous prime is 132324119. The next prime is 132324163. The reversal of 132324140 is 41423231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23741 + ... + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (6297480).

Almost surely, 2132324140 is an apocalyptic number.

132324140 is a gapful number since it is divisible by the number (10) 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 132324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

132324140 is an abundant number, since it is smaller than the sum of its proper divisors (169954900).

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

132324140 is a wasteful number, since it uses less digits than its factorization.

132324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132324140 is about 11503.2230266130. The cubic root of 132324140 is about 509.5807653010.

Adding to 132324140 its reverse (41423231), we get a palindrome (173747371).

Subtracting from 132324140 its reverse (41423231), we obtain a palindrome (90900909).

The spelling of 132324140 in words is "one hundred thirty-two million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5039 5252 6565 10078 13130 20156 25195 26260 50390 65507 100780 131014 262028 327535 508939 655070 1017878 1310140 2035756 2544695 5089390 6616207 10178780 13232414 26464828 33081035 66162070 132324140