Base | Representation |
---|---|
bin | 100111011010… |
… | …100000000000 |
3 | 201102221001121 |
4 | 213122200000 |
5 | 10121112120 |
6 | 1005242024 |
7 | 153551626 |
oct | 47324000 |
9 | 21387047 |
10 | 10332160 |
11 | 5917783 |
12 | 3563314 |
13 | 21a9b07 |
14 | 152d516 |
15 | d915aa |
hex | 9da800 |
10332160 has 48 divisors (see below), whose sum is σ = 24815700. Its totient is φ = 4128768.
The previous prime is 10332131. The next prime is 10332163. The reversal of 10332160 is 6123301.
It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 295936 = 3168^2 + 544^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (10332163) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9736 + ... + 10744.
Almost surely, 210332160 is an apocalyptic number.
10332160 is a gapful number since it is divisible by the number (10) 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 10332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407850).
10332160 is an abundant number, since it is smaller than the sum of its proper divisors (14483540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10332160 is an equidigital number, since it uses as much as digits as its factorization.
10332160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1036 (or 1016 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
The square root of 10332160 is about 3214.3677449850. The cubic root of 10332160 is about 217.8029248885.
Adding to 10332160 its reverse (6123301), we get a palindrome (16455461).
The spelling of 10332160 in words is "ten million, three hundred thirty-two thousand, one hundred sixty".
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