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132505000 = 235426501
BaseRepresentation
bin1111110010111…
…01110110101000
3100020022221200121
413321131312220
5232410130000
621052013024
73166162645
oct771356650
9306287617
10132505000
1168882a71
1238461174
13215b4a34
1413852dcc
15b975b1a
hex7e5dda8

132505000 has 40 divisors (see below), whose sum is σ = 310470930. Its totient is φ = 53000000.

The previous prime is 132504991. The next prime is 132505019. The reversal of 132505000 is 505231.

It can be written as a sum of positive squares in 5 ways, for example, as 116964 + 132388036 = 342^2 + 11506^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8251 + ... + 18250.

Almost surely, 2132505000 is an apocalyptic number.

132505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132505000 is an abundant number, since it is smaller than the sum of its proper divisors (177965930).

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

132505000 is an equidigital number, since it uses as much as digits as its factorization.

132505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26527 (or 26508 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 132505000 is about 11511.0816172938. The cubic root of 132505000 is about 509.8128237897.

The spelling of 132505000 in words is "one hundred thirty-two million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 26501 53002 106004 132505 212008 265010 530020 662525 1060040 1325050 2650100 3312625 5300200 6625250 13250500 16563125 26501000 33126250 66252500 132505000