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93080 = 23513179
BaseRepresentation
bin10110101110011000
311201200102
4112232120
510434310
61554532
7535241
oct265630
9151612
1093080
1163a29
1245a48
13334a0
1425cc8
151c8a5
hex16b98

93080 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 34176.

The previous prime is 93077. The next prime is 93083. The reversal of 93080 is 8039.

It is an interprime number because it is at equal distance from previous prime (93077) and next prime (93083).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 93080.

It is not an unprimeable number, because it can be changed into a prime (93083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 609.

293080 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 93080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

93080 is an abundant number, since it is smaller than the sum of its proper divisors (133720).

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

93080 is a wasteful number, since it uses less digits than its factorization.

93080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 93080 is about 305.0901506113. The cubic root of 93080 is about 45.3195363627.

The spelling of 93080 in words is "ninety-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 179 260 358 520 716 895 1432 1790 2327 3580 4654 7160 9308 11635 18616 23270 46540 93080