Base | Representation |
---|---|
bin | 100111111101… |
… | …001000000000 |
3 | 201201010121100 |
4 | 213331020000 |
5 | 10140131414 |
6 | 1012254400 |
7 | 155012253 |
oct | 47751000 |
9 | 21633540 |
10 | 10473984 |
11 | 5a04294 |
12 | 3611400 |
13 | 2229531 |
14 | 156909a |
15 | dbd609 |
hex | 9fd200 |
10473984 has 60 divisors (see below), whose sum is σ = 30241926. Its totient is φ = 3489792.
The previous prime is 10473977. The next prime is 10474021. The reversal of 10473984 is 48937401.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 6969600 + 3504384 = 2640^2 + 1872^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3472 + ... + 5744.
Almost surely, 210473984 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 10473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120963).
10473984 is an abundant number, since it is smaller than the sum of its proper divisors (19767942).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10473984 is an equidigital number, since it uses as much as digits as its factorization.
10473984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2297 (or 2278 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 10473984 is about 3236.3535035592. The cubic root of 10473984 is about 218.7949541352.
It can be divided in two parts, 104 and 73984, that added together give a cube (74088 = 423).
The spelling of 10473984 in words is "ten million, four hundred seventy-three thousand, nine hundred eighty-four".
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