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864087705 = 325132113621
BaseRepresentation
bin110011100000001…
…110111010011001
32020012221012111100
4303200032322121
53232201301310
6221424222013
730261424065
oct6340167231
92205835440
10864087705
11403833978
1220146a909
1310a031600
1482a8caa5
1550cd5ec0
hex3380ee99

864087705 has 36 divisors (see below), whose sum is σ = 1621840428. Its totient is φ = 425393280.

The previous prime is 864087691. The next prime is 864087733. The reversal of 864087705 is 507780468.

864087705 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 6 ways, for example, as 173606976 + 690480729 = 13176^2 + 26277^2 .

It is not a de Polignac number, because 864087705 - 24 = 864087689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49206 + ... + 64415.

It is an arithmetic number, because the mean of its divisors is an integer number (45051123).

Almost surely, 2864087705 is an apocalyptic number.

It is an amenable number.

864087705 is a deficient number, since it is larger than the sum of its proper divisors (757752723).

864087705 is a wasteful number, since it uses less digits than its factorization.

864087705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113658 (or 113642 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 864087705 is about 29395.3687678859. The cubic root of 864087705 is about 952.4728576389.

The spelling of 864087705 in words is "eight hundred sixty-four million, eighty-seven thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 113621 340863 568105 1022589 1477073 1704315 4431219 5112945 7385365 13293657 19201949 22156095 57605847 66468285 96009745 172817541 288029235 864087705