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132132020 = 22519933199
BaseRepresentation
bin1111110000000…
…10110010110100
3100012122000001112
413320002302310
5232311211040
621040014152
73163050356
oct770026264
9305560045
10132132020
1168648819
1238301358
13214b4037
14137970d6
15b900365
hex7e02cb4

132132020 has 24 divisors (see below), whose sum is σ = 278880000. Its totient is φ = 52585632.

The previous prime is 132132017. The next prime is 132132029. The reversal of 132132020 is 20231231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132131986 and 132132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132029) by changing a digit.

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, 12620 + ... + 20579.

It is an arithmetic number, because the mean of its divisors is an integer number (11620000).

Almost surely, 2132132020 is an apocalyptic number.

132132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132020 is an abundant number, since it is smaller than the sum of its proper divisors (146747980).

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

132132020 is a wasteful number, since it uses less digits than its factorization.

132132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33407 (or 33405 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132132020 is about 11494.8692902529. The cubic root of 132132020 is about 509.3340275674.

Adding to 132132020 its reverse (20231231), we get a palindrome (152363251).

The spelling of 132132020 in words is "one hundred thirty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 199 398 796 995 1990 3980 33199 66398 132796 165995 331990 663980 6606601 13213202 26426404 33033005 66066010 132132020