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9880 = 2351319
BaseRepresentation
bin10011010011000
3111112221
42122120
5304010
6113424
740543
oct23230
914487
109880
117472
125874
134660
14385a
152dda
hex2698

9880 has 32 divisors (see below), whose sum is σ = 25200. Its totient is φ = 3456.

The previous prime is 9871. The next prime is 9883. The reversal of 9880 is 889.

9880 = T1 + T2 + ... + T38.

9880 is a nontrivial binomial coefficient, being equal to C(40, 3).

It is a super-2 number, since 2×98802 = 195228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9883) by changing a digit.

9880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 38-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 529.

29880 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 9880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

9880 is an abundant number, since it is smaller than the sum of its proper divisors (15320).

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

9880 is a wasteful number, since it uses less digits than its factorization.

9880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 9880 is about 99.3981891183. The cubic root of 9880 is about 21.4578224866.

The spelling of 9880 in words is "nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880