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93930 = 23531101
BaseRepresentation
bin10110111011101010
311202211220
4112323222
511001210
62002510
7540564
oct267352
9152756
1093930
1164631
1246436
13339a5
1426334
151cc70
hex16eea

93930 has 32 divisors (see below), whose sum is σ = 235008. Its totient is φ = 24000.

The previous prime is 93923. The next prime is 93937. The reversal of 93930 is 3939.

It is an interprime number because it is at equal distance from previous prime (93923) and next prime (93937).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 93930.

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 93930.

It is not an unprimeable number, because it can be changed into a prime (93937) by changing a digit.

93930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 880 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (7344).

293930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504).

93930 is an abundant number, since it is smaller than the sum of its proper divisors (141078).

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

93930 is a wasteful number, since it uses less digits than its factorization.

93930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 93930 is about 306.4800156617. The cubic root of 93930 is about 45.4570701628.

It can be divided in two parts, 939 and 30, that added together give a palindrome (969).

The spelling of 93930 in words is "ninety-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 303 310 465 505 606 930 1010 1515 3030 3131 6262 9393 15655 18786 31310 46965 93930