Search a number
-
+
66976105 = 573751719
BaseRepresentation
bin1111111101111…
…1100101101001
311200000201221111
43333133211221
5114121213410
610351310321
71442200420
oct377374551
9150021844
1066976105
1134896159
121a51b3a1
1310b50341
148c762b7
155d2eb8a
hex3fdf969

66976105 has 16 divisors (see below), whose sum is σ = 94337280. Its totient is φ = 44684352.

The previous prime is 66976097. The next prime is 66976111. The reversal of 66976105 is 50167966.

It is a cyclic number.

It is not a de Polignac number, because 66976105 - 23 = 66976097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24565 + ... + 27154.

It is an arithmetic number, because the mean of its divisors is an integer number (5896080).

Almost surely, 266976105 is an apocalyptic number.

It is an amenable number.

66976105 is a deficient number, since it is larger than the sum of its proper divisors (27361175).

66976105 is a wasteful number, since it uses less digits than its factorization.

66976105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51768.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 66976105 is about 8183.8930222725. The cubic root of 66976105 is about 406.1065203771.

It can be divided in two parts, 66976 and 105, that added together give a square (67081 = 2592).

The spelling of 66976105 in words is "sixty-six million, nine hundred seventy-six thousand, one hundred five".

Divisors: 1 5 7 35 37 185 259 1295 51719 258595 362033 1810165 1913603 9568015 13395221 66976105