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93140971 = 71141163181
BaseRepresentation
bin1011000110100…
…11011111101011
320111021001101121
411203103133223
5142321002341
613124200111
72210454010
oct543233753
9214231347
1093140971
1148637210
1227239037
13163b1801
14c527707
15829c4d1
hex58d37eb

93140971 has 32 divisors (see below), whose sum is σ = 120347136. Its totient is φ = 69984000.

The previous prime is 93140969. The next prime is 93140987. The reversal of 93140971 is 17904139.

It is a 8-Lehmer number, since φ(93140971) divides (93140971-1)8.

It is a cyclic number.

It is not a de Polignac number, because 93140971 - 21 = 93140969 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (93140171) 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 31 ways as a sum of consecutive naturals, for example, 514501 + ... + 514681.

It is an arithmetic number, because the mean of its divisors is an integer number (3760848).

Almost surely, 293140971 is an apocalyptic number.

93140971 is a deficient number, since it is larger than the sum of its proper divisors (27206165).

93140971 is a wasteful number, since it uses less digits than its factorization.

93140971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 93140971 is about 9650.9569991789. The cubic root of 93140971 is about 453.2942955259.

The spelling of 93140971 in words is "ninety-three million, one hundred forty thousand, nine hundred seventy-one".

Divisors: 1 7 11 41 77 163 181 287 451 1141 1267 1793 1991 3157 6683 7421 12551 13937 29503 46781 51947 73513 81631 206521 324533 514591 571417 1209623 2271731 8467361 13305853 93140971