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9740 = 225487
BaseRepresentation
bin10011000001100
3111100202
42120030
5302430
6113032
740253
oct23014
914322
109740
117355
125778
134583
14379a
152d45
hex260c

9740 has 12 divisors (see below), whose sum is σ = 20496. Its totient is φ = 3888.

The previous prime is 9739. The next prime is 9743. The reversal of 9740 is 479.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 487 = 9740 / (9 + 7 + 4 + 0).

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9743) 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 3 ways as a sum of consecutive naturals, for example, 224 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1708).

29740 is an apocalyptic number.

It is an amenable number.

9740 is an abundant number, since it is smaller than the sum of its proper divisors (10756).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10248).

9740 is a wasteful number, since it uses less digits than its factorization.

9740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 9740 is about 98.6914383318. The cubic root of 9740 is about 21.3559872200.

Subtracting from 9740 its reverse (479), we obtain a cube (9261 = 213).

The spelling of 9740 in words is "nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 487 974 1948 2435 4870 9740