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132132300 = 22352440441
BaseRepresentation
bin1111110000000…
…10110111001100
3100012122000102220
413320002313030
5232311213200
621040015340
73163051236
oct770026714
9305560386
10132132300
1168648a53
1238301550
13214b41c1
1413797256
15b9004a0
hex7e02dcc

132132300 has 36 divisors (see below), whose sum is σ = 382303656. Its totient is φ = 35235200.

The previous prime is 132132293. The next prime is 132132331. The reversal of 132132300 is 3231231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132132300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219921 + ... + 220520.

It is an arithmetic number, because the mean of its divisors is an integer number (10619546).

Almost surely, 2132132300 is an apocalyptic number.

132132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132300 is an abundant number, since it is smaller than the sum of its proper divisors (250171356).

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

132132300 is a wasteful number, since it uses less digits than its factorization.

132132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440458 (or 440451 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132132300 is about 11494.8814695933. The cubic root of 132132300 is about 509.3343873425.

Adding to 132132300 its reverse (3231231), we get a palindrome (135363531).

The spelling of 132132300 in words is "one hundred thirty-two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 440441 880882 1321323 1761764 2202205 2642646 4404410 5285292 6606615 8808820 11011025 13213230 22022050 26426460 33033075 44044100 66066150 132132300