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132115300 = 22522945557
BaseRepresentation
bin1111101111111…
…10101101100100
3100012121011010021
413313332231210
5232310142200
621035404524
73162650542
oct767765544
9305534107
10132115300
11686371a9
12382b3744
13214a9545
1413790d92
15b8ea41a
hex7dfeb64

132115300 has 36 divisors (see below), whose sum is σ = 296582580. Its totient is φ = 51022720.

The previous prime is 132115297. The next prime is 132115331. The reversal of 132115300 is 3511231.

It can be written as a sum of positive squares in 6 ways, for example, as 3655744 + 128459556 = 1912^2 + 11334^2 .

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 11 ways as a sum of consecutive naturals, for example, 19879 + ... + 25678.

It is an arithmetic number, because the mean of its divisors is an integer number (8238405).

Almost surely, 2132115300 is an apocalyptic number.

132115300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132115300 is an abundant number, since it is smaller than the sum of its proper divisors (164467280).

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

132115300 is a wasteful number, since it uses less digits than its factorization.

132115300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45600 (or 45593 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 132115300 is about 11494.1419862467. The cubic root of 132115300 is about 509.3125429337.

Adding to 132115300 its reverse (3511231), we get a palindrome (135626531).

The spelling of 132115300 in words is "one hundred thirty-two million, one hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 45557 91114 182228 227785 455570 911140 1138925 1321153 2277850 2642306 4555700 5284612 6605765 13211530 26423060 33028825 66057650 132115300