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93860 = 22513192
BaseRepresentation
bin10110111010100100
311202202022
4112322210
511000420
62002312
7540434
oct267244
9152668
1093860
1164578
1246398
1333950
14262c4
151cc25
hex16ea4

93860 has 36 divisors (see below), whose sum is σ = 224028. Its totient is φ = 32832.

The previous prime is 93851. The next prime is 93871. The reversal of 93860 is 6839.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 70756 = 152^2 + 266^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

93860 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 11 ways as a sum of consecutive naturals, for example, 4931 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (6223).

293860 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 93860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112014).

93860 is an abundant number, since it is smaller than the sum of its proper divisors (130168).

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

93860 is a wasteful number, since it uses less digits than its factorization.

93860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 93860 is about 306.3657944353. The cubic root of 93860 is about 45.4457752777.

It can be divided in two parts, 938 and 60, that multiplied together give a triangular number (56280 = T335).

The spelling of 93860 in words is "ninety-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 9386 18772 23465 46930 93860