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132000500 = 22532271163
BaseRepresentation
bin1111101111000…
…10101011110100
3100012101022122102
413313202223310
5232243004000
621033121232
73161662052
oct767425364
9305338572
10132000500
1168568a25
1238259218
1321469208
14137611d2
15b8c63d5
hex7de2af4

132000500 has 48 divisors (see below), whose sum is σ = 289808064. Its totient is φ = 52522400.

The previous prime is 132000499. The next prime is 132000509. The reversal of 132000500 is 5000231.

132000500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112919 + ... + 114081.

It is an arithmetic number, because the mean of its divisors is an integer number (6037668).

Almost surely, 2132000500 is an apocalyptic number.

132000500 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 132000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144904032).

132000500 is an abundant number, since it is smaller than the sum of its proper divisors (157807564).

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

132000500 is a wasteful number, since it uses less digits than its factorization.

132000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 132000500 is about 11489.1470527624. The cubic root of 132000500 is about 509.1649798494.

Adding to 132000500 its reverse (5000231), we get a palindrome (137000731).

The spelling of 132000500 in words is "one hundred thirty-two million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 125 227 250 454 500 908 1135 1163 2270 2326 4540 4652 5675 5815 11350 11630 22700 23260 28375 29075 56750 58150 113500 116300 145375 264001 290750 528002 581500 1056004 1320005 2640010 5280020 6600025 13200050 26400100 33000125 66000250 132000500