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668320272 = 24328215653
BaseRepresentation
bin100111110101011…
…100001000010000
31201120120012001200
4213311130020100
52332042222042
6150152231200
722363425414
oct4765341020
91646505050
10668320272
11313281a04
1216799b500
13a85c99a9
1464a8cd44
153da15c4c
hex27d5c210

668320272 has 60 divisors (see below), whose sum is σ = 1872977964. Its totient is φ = 222462720.

The previous prime is 668320259. The next prime is 668320277. The reversal of 668320272 is 272023866.

668320272 is a `hidden beast` number, since 6 + 68 + 320 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 356303376 + 312016896 = 18876^2 + 17664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (668320277) by changing a digit.

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, 115398 + ... + 121050.

Almost surely, 2668320272 is an apocalyptic number.

It is an amenable number.

668320272 is an abundant number, since it is smaller than the sum of its proper divisors (1204657692).

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

668320272 is a wasteful number, since it uses less digits than its factorization.

668320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 668320272 is about 25851.8910720280. The cubic root of 668320272 is about 874.3021470337.

The spelling of 668320272 in words is "six hundred sixty-eight million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 821 1642 2463 3284 4926 5653 6568 7389 9852 11306 13136 14778 16959 19704 22612 29556 33918 39408 45224 50877 59112 67836 90448 101754 118224 135672 203508 271344 407016 814032 4641113 9282226 13923339 18564452 27846678 37128904 41770017 55693356 74257808 83540034 111386712 167080068 222773424 334160136 668320272