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132013020 = 22352200217
BaseRepresentation
bin1111101111001…
…01101111011100
3100012101221211010
413313211233130
5232243404040
621033255220
73162043416
oct767455734
9305357733
10132013020
1168577377
1238264510
1321471b19
14137659b6
15b8c9e80
hex7de5bdc

132013020 has 24 divisors (see below), whose sum is σ = 369636624. Its totient is φ = 35203456.

The previous prime is 132013019. The next prime is 132013039. The reversal of 132013020 is 20310231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132012987 and 132013005.

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 7 ways as a sum of consecutive naturals, for example, 1100049 + ... + 1100168.

It is an arithmetic number, because the mean of its divisors is an integer number (15401526).

Almost surely, 2132013020 is an apocalyptic number.

132013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013020 is an abundant number, since it is smaller than the sum of its proper divisors (237623604).

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

132013020 is a wasteful number, since it uses less digits than its factorization.

132013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200229 (or 2200227 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132013020 is about 11489.6919018745. The cubic root of 132013020 is about 509.1810771218.

Adding to 132013020 its reverse (20310231), we get a palindrome (152323251).

The spelling of 132013020 in words is "one hundred thirty-two million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2200217 4400434 6600651 8800868 11001085 13201302 22002170 26402604 33003255 44004340 66006510 132013020