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66970127 = 773831579
BaseRepresentation
bin1111111101111…
…0001000001111
311200000102202002
43333132020033
5114121021002
610351222515
71442144120
oct377361017
9150012662
1066970127
1134891714
121a517a3b
1310b4a6c3
148c74047
155d2d002
hex3fde20f

66970127 has 16 divisors (see below), whose sum is σ = 78570240. Its totient is φ = 55899072.

The previous prime is 66970109. The next prime is 66970129. The reversal of 66970127 is 72107966.

It is a cyclic number.

It is not a de Polignac number, because 66970127 - 28 = 66969871 is a prime.

It is a super-2 number, since 2×669701272 = 8969995820792258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66970129) 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 15 ways as a sum of consecutive naturals, for example, 41624 + ... + 43202.

It is an arithmetic number, because the mean of its divisors is an integer number (4910640).

Almost surely, 266970127 is an apocalyptic number.

66970127 is a deficient number, since it is larger than the sum of its proper divisors (11600113).

66970127 is a wasteful number, since it uses less digits than its factorization.

66970127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 66970127 is about 8183.5277845193. The cubic root of 66970127 is about 406.0944375753.

The spelling of 66970127 in words is "sixty-six million, nine hundred seventy thousand, one hundred twenty-seven".

Divisors: 1 7 73 83 511 581 1579 6059 11053 42413 115267 131057 806869 917399 9567161 66970127