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132055020 = 22325733639
BaseRepresentation
bin1111101111011…
…11111111101100
3100012111002102200
413313233333230
5232301230040
621034221500
73162310026
oct767577754
9305432380
10132055020
11685a5989
1238284890
1321487c86
1413777016
15b8d7630
hex7deffec

132055020 has 36 divisors (see below), whose sum is σ = 400567440. Its totient is φ = 35214624.

The previous prime is 132055019. The next prime is 132055037. The reversal of 132055020 is 20550231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132054984 and 132055002.

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, 366640 + ... + 366999.

Almost surely, 2132055020 is an apocalyptic number.

132055020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132055020 is an abundant number, since it is smaller than the sum of its proper divisors (268512420).

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

132055020 is a wasteful number, since it uses less digits than its factorization.

132055020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733654 (or 733649 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 132055020 is about 11491.5194817744. The cubic root of 132055020 is about 509.2350701236.

It can be divided in two parts, 13205 and 5020, that added together give a square (18225 = 1352).

The spelling of 132055020 in words is "one hundred thirty-two million, fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733639 1467278 2200917 2934556 3668195 4401834 6602751 7336390 8803668 11004585 13205502 14672780 22009170 26411004 33013755 44018340 66027510 132055020