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93920 = 255587
BaseRepresentation
bin10110111011100000
311202211112
4112323200
511001140
62002452
7540551
oct267340
9152745
1093920
1164622
1246428
1333998
1426328
151cc65
hex16ee0

93920 has 24 divisors (see below), whose sum is σ = 222264. Its totient is φ = 37504.

The previous prime is 93913. The next prime is 93923. The reversal of 93920 is 2939.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

293920 is an apocalyptic number.

It is an amenable number.

93920 is an abundant number, since it is smaller than the sum of its proper divisors (128344).

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 (111132).

93920 is a wasteful number, since it uses less digits than its factorization.

93920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 93920 is about 306.4637009500. The cubic root of 93920 is about 45.4554569514.

It can be divided in two parts, 939 and 20, that added together give a palindrome (959).

The spelling of 93920 in words is "ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 587 1174 2348 2935 4696 5870 9392 11740 18784 23480 46960 93920