Search a number
-
+
864672100 = 22528646721
BaseRepresentation
bin110011100010011…
…101100101100100
32020021000220010121
4303202131211210
53232324001400
6221444531324
730266406625
oct6342354544
92207026117
10864672100
114040a2a46
122016b0b44
1310a1a75c6
1482ba1a4c
1550d9e21a
hex3389d964

864672100 has 18 divisors (see below), whose sum is σ = 1876338674. Its totient is φ = 345868800.

The previous prime is 864672073. The next prime is 864672101. The reversal of 864672100 is 1276468.

864672100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33849124 + 830822976 = 5818^2 + 28824^2 .

It is not an unprimeable number, because it can be changed into a prime (864672101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4323261 + ... + 4323460.

Almost surely, 2864672100 is an apocalyptic number.

It is an amenable number.

864672100 is an abundant number, since it is smaller than the sum of its proper divisors (1011666574).

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

864672100 is a wasteful number, since it uses less digits than its factorization.

864672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646735 (or 8646728 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 864672100 is about 29405.3073440833. The cubic root of 864672100 is about 952.6875329688.

The spelling of 864672100 in words is "eight hundred sixty-four million, six hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8646721 17293442 34586884 43233605 86467210 172934420 216168025 432336050 864672100