Base | Representation |
---|---|
bin | 100111111110… |
… | …100110001000 |
3 | 201201102212110 |
4 | 213332212020 |
5 | 10140330013 |
6 | 1012342320 |
7 | 155035650 |
oct | 47764610 |
9 | 21642773 |
10 | 10480008 |
11 | 5a08870 |
12 | 36149a0 |
13 | 222c1b6 |
14 | 156b360 |
15 | dc02c3 |
hex | 9fe988 |
10480008 has 128 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 2645760.
The previous prime is 10479967. The next prime is 10480009. The reversal of 10480008 is 80008401.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (10480009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97891 + ... + 97997.
It is an arithmetic number, because the mean of its divisors is an integer number (262440).
Almost surely, 210480008 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 10480008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).
10480008 is an abundant number, since it is smaller than the sum of its proper divisors (23112312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10480008 is a wasteful number, since it uses less digits than its factorization.
10480008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187 (or 183 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 21.
The square root of 10480008 is about 3237.2840468516. The cubic root of 10480008 is about 218.8368919564.
Adding to 10480008 its reverse (80008401), we get a palindrome (90488409).
The spelling of 10480008 in words is "ten million, four hundred eighty thousand, eight".
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