Search a number
-
+
664688880 = 24325923179
BaseRepresentation
bin100111100111100…
…101100011110000
31201022201200201200
4213213211203300
52330130021010
6145542331200
722320522312
oct4747454360
91638650650
10664688880
11311221659
12166729b00
13a7927b3b
14643c57b2
153d549cc0
hex279e58f0

664688880 has 60 divisors (see below), whose sum is σ = 2232249240. Its totient is φ = 177250176.

The previous prime is 664688873. The next prime is 664688881. The reversal of 664688880 is 88886466.

664688880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×6646888802 = 883622614391308800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664688881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460870 + ... + 462309.

It is an arithmetic number, because the mean of its divisors is an integer number (37204154).

Almost surely, 2664688880 is an apocalyptic number.

664688880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664688880 is an abundant number, since it is smaller than the sum of its proper divisors (1567560360).

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

664688880 is a wasteful number, since it uses less digits than its factorization.

664688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923198 (or 923189 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 664688880 is about 25781.5608526714. The cubic root of 664688880 is about 872.7157311447.

The spelling of 664688880 in words is "six hundred sixty-four million, six hundred eighty-eight thousand, eight hundred 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 923179 1846358 2769537 3692716 4615895 5539074 7385432 8308611 9231790 11078148 13847685 14770864 16617222 18463580 22156296 27695370 33234444 36927160 41543055 44312592 55390740 66468888 73854320 83086110 110781480 132937776 166172220 221562960 332344440 664688880