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10080 = 253257
BaseRepresentation
bin10011101100000
3111211100
42131200
5310310
6114400
741250
oct23540
914740
1010080
117634
125a00
134785
143960
152ec0
hex2760

10080 has 72 divisors (see below), whose sum is σ = 39312. Its totient is φ = 2304.

The previous prime is 10079. The next prime is 10091. The reversal of 10080 is 8001.

It is a Jordan-Polya number, since it can be written as 7! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

10080 is a highly composite number, because it has more divisors than any smaller number.

10080 is a superabundant number, because it has a larger abundancy index than any smaller number.

210080 is an apocalyptic number.

10080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

10080 is an abundant number, since it is smaller than the sum of its proper divisors (29232).

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

10080 is a wasteful number, since it uses less digits than its factorization.

10080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10080 is about 100.3992031841. The cubic root of 10080 is about 21.6016459651.

The spelling of 10080 in words is "ten thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080