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93120 = 263597
BaseRepresentation
bin10110101111000000
311201201220
4112233000
510434440
61555040
7535326
oct265700
9151656
1093120
1163a65
1245a80
1333501
1425d16
151c8d0
hex16bc0

93120 has 56 divisors (see below), whose sum is σ = 298704. Its totient is φ = 24576.

The previous prime is 93113. The next prime is 93131. The reversal of 93120 is 2139.

Adding to 93120 its reverse (2139), we get a palindrome (95259).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 93120.

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 93120.

It is an unprimeable number.

93120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

293120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352).

93120 is an abundant number, since it is smaller than the sum of its proper divisors (205584).

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

93120 is a wasteful number, since it uses less digits than its factorization.

93120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 93120 is about 305.1556979642. The cubic root of 93120 is about 45.3260272732.

The spelling of 93120 in words is "ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15520 18624 23280 31040 46560 93120