Base | Representation |
---|---|
bin | 100100001100… |
… | …111000101000 |
3 | 122212010210000 |
4 | 210030320220 |
5 | 4412134320 |
6 | 535223000 |
7 | 143443344 |
oct | 44147050 |
9 | 18763700 |
10 | 9489960 |
11 | 53a1a47 |
12 | 3217a60 |
13 | 1c7367c |
14 | 1390624 |
15 | c76c90 |
hex | 90ce28 |
9489960 has 160 divisors (see below), whose sum is σ = 33323400. Its totient is φ = 2419200.
The previous prime is 9489943. The next prime is 9489967. The reversal of 9489960 is 699849.
It can be written as a sum of positive squares in 4 ways, for example, as 9253764 + 236196 = 3042^2 + 486^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (9489967) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93910 + ... + 94010.
Almost surely, 29489960 is an apocalyptic number.
9489960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9489960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16661700).
9489960 is an abundant number, since it is smaller than the sum of its proper divisors (23833440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9489960 is a wasteful number, since it uses less digits than its factorization.
9489960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 140 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 45.
The square root of 9489960 is about 3080.5778678683. The cubic root of 9489960 is about 211.7165429684.
The spelling of 9489960 in words is "nine million, four hundred eighty-nine thousand, nine hundred sixty".
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