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132523240 = 23523283509
BaseRepresentation
bin1111110011000…
…10010011101000
3100020100212201011
413321202103220
5232411220430
621052233304
73166300063
oct771422350
9306325634
10132523240
1168895743
123846b834
13215c0125
14138598da
15b97b22a
hex7e624e8

132523240 has 64 divisors (see below), whose sum is σ = 312854400. Its totient is φ = 50426112.

The previous prime is 132523219. The next prime is 132523247. The reversal of 132523240 is 42325231.

It is not an unprimeable number, because it can be changed into a prime (132523247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260106 + ... + 260614.

It is an arithmetic number, because the mean of its divisors is an integer number (4888350).

Almost surely, 2132523240 is an apocalyptic number.

132523240 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 132523240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156427200).

132523240 is an abundant number, since it is smaller than the sum of its proper divisors (180331160).

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

132523240 is a wasteful number, since it uses less digits than its factorization.

132523240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 132523240 is about 11511.8738700526. The cubic root of 132523240 is about 509.8362155089.

Adding to 132523240 its reverse (42325231), we get a palindrome (174848471).

The spelling of 132523240 in words is "one hundred thirty-two million, five hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 283 460 509 566 920 1018 1132 1415 2036 2264 2545 2830 4072 5090 5660 6509 10180 11320 11707 13018 20360 23414 26036 32545 46828 52072 58535 65090 93656 117070 130180 144047 234140 260360 288094 468280 576188 720235 1152376 1440470 2880940 3313081 5761880 6626162 13252324 16565405 26504648 33130810 66261620 132523240