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93126 = 23111783
BaseRepresentation
bin10110101111000110
311201202010
4112233012
510440001
61555050
7535335
oct265706
9151663
1093126
1163a70
1245a86
1333507
1425d1c
151c8d6
hex16bc6

93126 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 26240.

The previous prime is 93113. The next prime is 93131. The reversal of 93126 is 62139.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93126.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

293126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

93126 is an abundant number, since it is smaller than the sum of its proper divisors (124602).

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

93126 is a wasteful number, since it uses less digits than its factorization.

93126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 324, while the sum is 21.

The square root of 93126 is about 305.1655288528. The cubic root of 93126 is about 45.3270007494.

The spelling of 93126 in words is "ninety-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 83 102 166 187 249 374 498 561 913 1122 1411 1826 2739 2822 4233 5478 8466 15521 31042 46563 93126