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664830760 = 235116192441
BaseRepresentation
bin100111101000001…
…000001100101000
31201022222220100111
4213220020030220
52330144041020
6145545344104
722321653046
oct4750101450
91638886314
10664830760
11311309210
12166798034
13a79775a9
1464421396
153d576d5a
hex27a08328

664830760 has 64 divisors (see below), whose sum is σ = 1635163200. Its totient is φ = 241267200.

The previous prime is 664830757. The next prime is 664830769. The reversal of 664830760 is 67038466.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (664830769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 271140 + ... + 273580.

It is an arithmetic number, because the mean of its divisors is an integer number (25549425).

Almost surely, 2664830760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664830760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817581600).

664830760 is an abundant number, since it is smaller than the sum of its proper divisors (970332440).

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

664830760 is a wasteful number, since it uses less digits than its factorization.

664830760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 664830760 is about 25784.3122847983. The cubic root of 664830760 is about 872.7778213961. Note that the first 3 decimals are identical.

The spelling of 664830760 in words is "six hundred sixty-four million, eight hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 619 1238 2441 2476 3095 4882 4952 6190 6809 9764 12205 12380 13618 19528 24410 24760 26851 27236 34045 48820 53702 54472 68090 97640 107404 134255 136180 214808 268510 272360 537020 1074040 1510979 3021958 6043916 7554895 12087832 15109790 16620769 30219580 33241538 60439160 66483076 83103845 132966152 166207690 332415380 664830760