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9520 = 245717

9520 has 40 divisors (see below), whose sum is σ = 26784. Its totient is φ = 3072.

The previous prime is 9511. The next prime is 9521. The reversal of 9520 is 259.

9520 divided by its sum of digits (16) gives a palindrome (595).

Adding to 9520 its reverse (259), we get a palindrome (9779).

Subtracting from 9520 its reverse (259), we obtain a cube (9261 = 213).

It can be divided in two parts, 9 and 520, that added together give a square (529 = 232).

9520 = T19 + T20 + ... + T39.

9520 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

9520 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 10 and base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 9494 and 9503.

It is not an unprimeable number, because it can be changed into a prime (9521) by changing a digit.

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, 552 + ... + 568.

29520 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 9520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392).

9520 is an abundant number, since it is smaller than the sum of its proper divisors (17264).

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

9520 is a wasteful number, since it uses less digits than its factorization.

9520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 9520 is about 97.5704873412. The cubic root of 9520 is about 21.1939700425.

The spelling of 9520 in words is "nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520