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66867031 = 71131109257
BaseRepresentation
bin1111111100010…
…0111101010111
311122211012022201
43333010331113
5114104221111
610345105331
71441234420
oct377047527
9148735281
1066867031
1134821210
121a488247
1310b127ba
148c48647
155d0c6c1
hex3fc4f57

66867031 has 32 divisors (see below), whose sum is σ = 87183360. Its totient is φ = 49766400.

The previous prime is 66867013. The next prime is 66867037. The reversal of 66867031 is 13076866.

It is a 13-Lehmer number, since φ(66867031) divides (66867031-1)13.

It is a cyclic number.

It is not a de Polignac number, because 66867031 - 27 = 66866903 is a prime.

It is a super-2 number, since 2×668670312 = 8942399669509922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66867037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260055 + ... + 260311.

It is an arithmetic number, because the mean of its divisors is an integer number (2724480).

Almost surely, 266867031 is an apocalyptic number.

66867031 is a deficient number, since it is larger than the sum of its proper divisors (20316329).

66867031 is a wasteful number, since it uses less digits than its factorization.

66867031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 66867031 is about 8177.2263635049. The cubic root of 66867031 is about 405.8859455403.

The spelling of 66867031 in words is "sixty-six million, eight hundred sixty-seven thousand, thirty-one".

Divisors: 1 7 11 31 77 109 217 257 341 763 1199 1799 2387 2827 3379 7967 8393 19789 23653 28013 37169 55769 87637 196091 260183 308143 613459 868403 2157001 6078821 9552433 66867031