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663940100 = 225217390553
BaseRepresentation
bin100111100100101…
…110110000000100
31201021022122121002
4213210232300010
52324432040400
6145514312432
722311253265
oct4744566004
91637278532
10663940100
1131086002a
12166428718
13a7725085
146426c96c
153d44ced5
hex2792ec04

663940100 has 36 divisors (see below), whose sum is σ = 1525503924. Its totient is φ = 249953280.

The previous prime is 663940097. The next prime is 663940139. The reversal of 663940100 is 1049366.

It can be written as a sum of positive squares in 6 ways, for example, as 5299204 + 658640896 = 2302^2 + 25664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193577 + ... + 196976.

It is an arithmetic number, because the mean of its divisors is an integer number (42375109).

Almost surely, 2663940100 is an apocalyptic number.

It is an amenable number.

663940100 is an abundant number, since it is smaller than the sum of its proper divisors (861563824).

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

663940100 is a wasteful number, since it uses less digits than its factorization.

663940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390584 (or 390577 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 663940100 is about 25767.0351418241. The cubic root of 663940100 is about 872.3878997638.

Adding to 663940100 its reverse (1049366), we get a palindrome (664989466).

The spelling of 663940100 in words is "six hundred sixty-three million, nine hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 390553 781106 1562212 1952765 3905530 6639401 7811060 9763825 13278802 19527650 26557604 33197005 39055300 66394010 132788020 165985025 331970050 663940100