Search a number
-
+
66687327 = 33723329
BaseRepresentation
bin1111111001100…
…1000101011111
311122111001211000
43332121011133
5114032443302
610341201343
71436555460
oct376310537
9148431730
1066687327
11347091a3
121a400253
1310a7ba75
148bdcd67
155cc431c
hex3f9915f

66687327 has 64 divisors (see below), whose sum is σ = 122112000. Its totient is φ = 35193312.

The previous prime is 66687323. The next prime is 66687331. The reversal of 66687327 is 72378666.

It is an interprime number because it is at equal distance from previous prime (66687323) and next prime (66687331).

It is not a de Polignac number, because 66687327 - 22 = 66687323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66687323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2299549 + ... + 2299577.

It is an arithmetic number, because the mean of its divisors is an integer number (1908000).

Almost surely, 266687327 is an apocalyptic number.

66687327 is a deficient number, since it is larger than the sum of its proper divisors (55424673).

66687327 is an equidigital number, since it uses as much as digits as its factorization.

66687327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 62 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 66687327 is about 8166.2308931355. The cubic root of 66687327 is about 405.5220154855.

The spelling of 66687327 in words is "sixty-six million, six hundred eighty-seven thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 23 27 29 63 69 87 161 189 203 207 261 483 529 609 621 667 783 1449 1587 1827 2001 3703 4347 4669 4761 5481 6003 11109 12167 14007 14283 15341 18009 33327 36501 42021 46023 85169 99981 107387 109503 126063 138069 255507 322161 328509 352843 414207 766521 966483 1058529 2299563 2469901 2899449 3175587 7409703 9526761 22229109 66687327