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9280 = 26529
BaseRepresentation
bin10010001000000
3110201201
42101000
5244110
6110544
736025
oct22100
913651
109280
116a77
125454
1342bb
14354c
152b3a
hex2440

9280 has 28 divisors (see below), whose sum is σ = 22860. Its totient is φ = 3584.

The previous prime is 9277. The next prime is 9281. The reversal of 9280 is 829.

Subtracting from 9280 its sum of digits (19), we obtain a cube (9261 = 213).

It can be divided in two parts, 9 and 280, that added together give a square (289 = 172).

9280 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 5184 = 64^2 + 72^2 .

It is a super-2 number, since 2×92802 = 172236800, which contains 22 as substring.

9280 is an undulating number in base 12.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 306 + ... + 334.

29280 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 9280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430).

9280 is an abundant number, since it is smaller than the sum of its proper divisors (13580).

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

9280 is a wasteful number, since it uses less digits than its factorization.

9280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 9280 is about 96.3327566303. The cubic root of 9280 is about 21.0143514900.

The spelling of 9280 in words is "nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280