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132040080 = 24325183389
BaseRepresentation
bin1111101111011…
…00010110010000
3100012110022221100
413313230112100
5232300240310
621034024400
73162215334
oct767542620
9305408840
10132040080
1168595737
1238278100
1321481233
14137717c4
15b8d2ec0
hex7dec590

132040080 has 60 divisors (see below), whose sum is σ = 443437020. Its totient is φ = 35210496.

The previous prime is 132040031. The next prime is 132040099. The reversal of 132040080 is 80040231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 98724096 = 5772^2 + 9936^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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, 90975 + ... + 92414.

It is an arithmetic number, because the mean of its divisors is an integer number (7390617).

Almost surely, 2132040080 is an apocalyptic number.

132040080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132040080 is an abundant number, since it is smaller than the sum of its proper divisors (311396940).

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

132040080 is a wasteful number, since it uses less digits than its factorization.

132040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183408 (or 183399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132040080 is about 11490.8694188038. The cubic root of 132040080 is about 509.2158653536.

The spelling of 132040080 in words is "one hundred thirty-two million, forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 183389 366778 550167 733556 916945 1100334 1467112 1650501 1833890 2200668 2750835 2934224 3301002 3667780 4401336 5501670 6602004 7335560 8252505 8802672 11003340 13204008 14671120 16505010 22006680 26408016 33010020 44013360 66020040 132040080