Base | Representation |
---|---|
bin | 100110011011… |
… | …100100000000 |
3 | 200221211102202 |
4 | 212123210000 |
5 | 10034334433 |
6 | 555532332 |
7 | 151426223 |
oct | 46334400 |
9 | 20854382 |
10 | 10074368 |
11 | 5761027 |
12 | 345a0a8 |
13 | 2119685 |
14 | 14a35ba |
15 | d3eee8 |
hex | 99b900 |
10074368 has 72 divisors (see below), whose sum is σ = 22075200. Its totient is φ = 4573184.
The previous prime is 10074367. The next prime is 10074373. The reversal of 10074368 is 86347001.
It is a Harshad number since it is a multiple of its sum of digits (29).
It is a self number, because there is not a number n which added to its sum of digits gives 10074368.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10074367) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170723 + ... + 170781.
It is an arithmetic number, because the mean of its divisors is an integer number (306600).
Almost surely, 210074368 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 10074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037600).
10074368 is an abundant number, since it is smaller than the sum of its proper divisors (12000832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10074368 is an equidigital number, since it uses as much as digits as its factorization.
10074368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 29.
The square root of 10074368 is about 3174.0144927205. The cubic root of 10074368 is about 215.9762205189.
The spelling of 10074368 in words is "ten million, seventy-four thousand, three hundred sixty-eight".
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