Search a number
-
+
9780 = 2235163
BaseRepresentation
bin10011000110100
3111102020
42120310
5303110
6113140
740341
oct23064
914366
109780
117391
1257b0
1345b4
1437c8
152d70
hex2634

9780 has 24 divisors (see below), whose sum is σ = 27552. Its totient is φ = 2592.

The previous prime is 9769. The next prime is 9781. The reversal of 9780 is 879.

It is a self number, because there is not a number n which added to its sum of digits gives 9780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9781) 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, 22 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1148).

29780 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 9780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776).

9780 is an abundant number, since it is smaller than the sum of its proper divisors (17772).

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

9780 is a wasteful number, since it uses less digits than its factorization.

9780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 9780 is about 98.8938825206. The cubic root of 9780 is about 21.3851820441.

The spelling of 9780 in words is "nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780