Search a number
-
+
864132750 = 232531331953
BaseRepresentation
bin110011100000011…
…001111010001110
32020020000111021200
4303200121322032
53232204222000
6221425210330
730262002315
oct6340317216
92206014250
10864132750
114038647a8
122014909a6
1310a048c70
1482aa127c
1550ce4500
hex33819e8e

864132750 has 192 divisors, whose sum is σ = 2600252928. Its totient is φ = 205632000.

The previous prime is 864132739. The next prime is 864132757. The reversal of 864132750 is 57231468.

864132750 is a `hidden beast` number, since 8 + 641 + 3 + 2 + 7 + 5 + 0 = 666.

864132750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864132757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906274 + ... + 907226.

It is an arithmetic number, because the mean of its divisors is an integer number (13542984).

Almost surely, 2864132750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864132750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300126464).

864132750 is an abundant number, since it is smaller than the sum of its proper divisors (1736120178).

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

864132750 is a wasteful number, since it uses less digits than its factorization.

864132750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 864132750 is about 29396.1349500236. The cubic root of 864132750 is about 952.4894081944.

The spelling of 864132750 in words is "eight hundred sixty-four million, one hundred thirty-two thousand, seven hundred fifty".