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665524980 = 223253697361
BaseRepresentation
bin100111101010110…
…001101011110100
31201101022011122100
4213222301223310
52330333244410
6150012302100
722330604031
oct4752615364
91641264570
10665524980
1131174284a
12166a71930
13a7b5b583
1464562388
153d6628c0
hex27ab1af4

665524980 has 36 divisors (see below), whose sum is σ = 2018759652. Its totient is φ = 177473280.

The previous prime is 665524967. The next prime is 665524999. The reversal of 665524980 is 89425566.

665524980 is a `hidden beast` number, since 6 + 6 + 552 + 4 + 98 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 355624164 + 309900816 = 18858^2 + 17604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1848501 + ... + 1848860.

It is an arithmetic number, because the mean of its divisors is an integer number (56076657).

Almost surely, 2665524980 is an apocalyptic number.

665524980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

665524980 is an abundant number, since it is smaller than the sum of its proper divisors (1353234672).

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

665524980 is a wasteful number, since it uses less digits than its factorization.

665524980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697376 (or 3697371 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 665524980 is about 25797.7708339306. The cubic root of 665524980 is about 873.0815022140.

The spelling of 665524980 in words is "six hundred sixty-five million, five hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3697361 7394722 11092083 14789444 18486805 22184166 33276249 36973610 44368332 55460415 66552498 73947220 110920830 133104996 166381245 221841660 332762490 665524980