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65301216 = 2531740013
BaseRepresentation
bin1111100100011…
…0101011100000
311112212122102120
43321012223200
5113204114331
610251344240
71422023361
oct371065340
9145778376
1065301216
1133951852
1219a52080
13106b4b96
14895bb68
155aed796
hex3e46ae0

65301216 has 48 divisors (see below), whose sum is σ = 181503504. Its totient is φ = 20486144.

The previous prime is 65301191. The next prime is 65301217. The reversal of 65301216 is 61210356.

65301216 is digitally balanced in base 2, 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 (48).

It is a super-2 number, since 2×653012162 = 8528497622157312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65301217) 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 7 ways as a sum of consecutive naturals, for example, 18375 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (3781323).

Almost surely, 265301216 is an apocalyptic number.

It is an amenable number.

65301216 is an abundant number, since it is smaller than the sum of its proper divisors (116202288).

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

65301216 is a wasteful number, since it uses less digits than its factorization.

65301216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40043 (or 40035 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 65301216 is about 8080.9167796730. The cubic root of 65301216 is about 402.6926994168.

The spelling of 65301216 in words is "sixty-five million, three hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 40013 80026 120039 160052 240078 320104 480156 640208 680221 960312 1280416 1360442 1920624 2040663 2720884 3841248 4081326 5441768 8162652 10883536 16325304 21767072 32650608 65301216