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9120 = 253519
BaseRepresentation
bin10001110100000
3110111210
42032200
5242440
6110120
735406
oct21640
913453
109120
116941
125340
1341c7
143476
152a80
hex23a0

9120 has 48 divisors (see below), whose sum is σ = 30240. Its totient is φ = 2304.

The previous prime is 9109. The next prime is 9127. The reversal of 9120 is 219.

Adding to 9120 its reverse (219), we get a palindrome (9339).

It can be divided in two parts, 91 and 20, that added together give a palindrome (111).

9120 = T21 + T22 + ... + T39.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9096 and 9105.

It is not an unprimeable number, because it can be changed into a prime (9127) by changing a digit.

9120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

29120 is an apocalyptic number.

It is a pronic number, being equal to 95×96.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

9120 is an abundant number, since it is smaller than the sum of its proper divisors (21120).

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

9120 is a wasteful number, since it uses less digits than its factorization.

9120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 9120 is about 95.4986910905. The cubic root of 9120 is about 20.8928785364.

The spelling of 9120 in words is "nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120