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132255400 = 23521993323
BaseRepresentation
bin1111110001000…
…00111010101000
3100012212021022011
413320200322220
5232324133100
621042405304
73164103154
oct770407250
9305767264
10132255400
1168722492
1238360834
1321528244
14137ca064
15b926bba
hex7e20ea8

132255400 has 48 divisors (see below), whose sum is σ = 309132000. Its totient is φ = 52620480.

The previous prime is 132255397. The next prime is 132255407. The reversal of 132255400 is 4552231.

132255400 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 (132255407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38139 + ... + 41461.

It is an arithmetic number, because the mean of its divisors is an integer number (6440250).

Almost surely, 2132255400 is an apocalyptic number.

132255400 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 132255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154566000).

132255400 is an abundant number, since it is smaller than the sum of its proper divisors (176876600).

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

132255400 is a wasteful number, since it uses less digits than its factorization.

132255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 132255400 is about 11500.2347802121. The cubic root of 132255400 is about 509.4925106834.

The spelling of 132255400 in words is "one hundred thirty-two million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3323 3980 4975 6646 7960 9950 13292 16615 19900 26584 33230 39800 66460 83075 132920 166150 332300 661277 664600 1322554 2645108 3306385 5290216 6612770 13225540 16531925 26451080 33063850 66127700 132255400