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132231040 = 275307673
BaseRepresentation
bin1111110000110…
…10111110000000
3100012211000212221
413320122332000
5232322343130
621042100424
73163642144
oct770327600
9305730787
10132231040
1168706157
123834a714
132151a126
14137c1224
15b91e87a
hex7e1af80

132231040 has 64 divisors (see below), whose sum is σ = 317615760. Its totient is φ = 52641792.

The previous prime is 132231037. The next prime is 132231041. The reversal of 132231040 is 40132231.

It is a happy number.

132231040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132231041) 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, 196144 + ... + 196816.

Almost surely, 2132231040 is an apocalyptic number.

132231040 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 132231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158807880).

132231040 is an abundant number, since it is smaller than the sum of its proper divisors (185384720).

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

132231040 is an equidigital number, since it uses as much as digits as its factorization.

132231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

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

The square root of 132231040 is about 11499.1756226262. The cubic root of 132231040 is about 509.4612277776.

Adding to 132231040 its reverse (40132231), we get a palindrome (172363271).

The spelling of 132231040 in words is "one hundred thirty-two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 307 320 614 640 673 1228 1346 1535 2456 2692 3070 3365 4912 5384 6140 6730 9824 10768 12280 13460 19648 21536 24560 26920 39296 43072 49120 53840 86144 98240 107680 196480 206611 215360 413222 430720 826444 1033055 1652888 2066110 3305776 4132220 6611552 8264440 13223104 16528880 26446208 33057760 66115520 132231040