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132853500 = 22335313757
BaseRepresentation
bin1111110101100…
…10111011111100
3100020222122202000
413322302323330
5233002303000
621103302300
73202143663
oct772627374
9306878660
10132853500
1168aa088a
12385aa990
13216a7550
1413903dda
15b9e4000
hex7eb2efc

132853500 has 192 divisors, whose sum is σ = 463532160. Its totient is φ = 32659200.

The previous prime is 132853499. The next prime is 132853549. The reversal of 132853500 is 5358231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175122 + ... + 175878.

It is an arithmetic number, because the mean of its divisors is an integer number (2414230).

Almost surely, 2132853500 is an apocalyptic number.

132853500 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 132853500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231766080).

132853500 is an abundant number, since it is smaller than the sum of its proper divisors (330678660).

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

132853500 is a wasteful number, since it uses less digits than its factorization.

132853500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 132853500 is about 11526.2092641076. The cubic root of 132853500 is about 510.2593836273.

The spelling of 132853500 in words is "one hundred thirty-two million, eight hundred fifty-three thousand, five hundred".