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93114 = 2327739
BaseRepresentation
bin10110101110111010
311201201200
4112232322
510434424
61555030
7535320
oct265672
9151650
1093114
1163a5a
1245a76
13334c8
1425d10
151c8c9
hex16bba

93114 has 24 divisors (see below), whose sum is σ = 230880. Its totient is φ = 26568.

The previous prime is 93113. The next prime is 93131. The reversal of 93114 is 41139.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (9620).

293114 is an apocalyptic number.

93114 is an abundant number, since it is smaller than the sum of its proper divisors (137766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115440).

93114 is a wasteful number, since it uses less digits than its factorization.

93114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 751 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 93114 is about 305.1458667588. The cubic root of 93114 is about 45.3250537551.

Subtracting from 93114 its sum of digits (18), we obtain a triangular number (93096 = T431).

The spelling of 93114 in words is "ninety-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 739 1478 2217 4434 5173 6651 10346 13302 15519 31038 46557 93114