Search a number
-
+
76328100 = 22325284809
BaseRepresentation
bin1001000110010…
…10110010100100
312022121212110200
410203022302210
5124014444400
611323550500
71614530622
oct443126244
9168555420
1076328100
113a0a3482
122168b430
1312a75c74
14a1cc512
156a7ab00
hex48caca4

76328100 has 54 divisors (see below), whose sum is σ = 239249010. Its totient is φ = 20353920.

The previous prime is 76328093. The next prime is 76328117. The reversal of 76328100 is 182367.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 76317696 = 102^2 + 8736^2 .

It is a super-2 number, since 2×763281002 = 11651957699220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41505 + ... + 43304.

Almost surely, 276328100 is an apocalyptic number.

It is an amenable number.

76328100 is an abundant number, since it is smaller than the sum of its proper divisors (162920910).

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

76328100 is a wasteful number, since it uses less digits than its factorization.

76328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84829 (or 84819 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76328100 is about 8736.5954467401. The cubic root of 76328100 is about 424.1910332359.

The spelling of 76328100 in words is "seventy-six million, three hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 84809 169618 254427 339236 424045 508854 763281 848090 1017708 1272135 1526562 1696180 2120225 2544270 3053124 3816405 4240450 5088540 6360675 7632810 8480900 12721350 15265620 19082025 25442700 38164050 76328100