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132246020 = 2257193131
BaseRepresentation
bin1111110000111…
…10101000000100
3100012211210102202
413320132220010
5232323333040
621042254032
73164033624
oct770365004
9305753382
10132246020
1168716435
1238357318
1321523baa
14137c6884
15b924015
hex7e1ea04

132246020 has 24 divisors (see below), whose sum is σ = 281631168. Its totient is φ = 52152800.

The previous prime is 132246019. The next prime is 132246053. The reversal of 132246020 is 20642231.

132246020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132245983 and 132246001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45146 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (11734632).

Almost surely, 2132246020 is an apocalyptic number.

132246020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132246020 is an abundant number, since it is smaller than the sum of its proper divisors (149385148).

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

132246020 is a wasteful number, since it uses less digits than its factorization.

132246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93211 (or 93209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132246020 is about 11499.8269552198. The cubic root of 132246020 is about 509.4804654216.

Adding to 132246020 its reverse (20642231), we get a palindrome (152888251).

The spelling of 132246020 in words is "one hundred thirty-two million, two hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 93131 186262 372524 465655 931310 1862620 6612301 13224602 26449204 33061505 66123010 132246020