Base | Representation |
---|---|
bin | 100111100111… |
… | …100001011000 |
3 | 201112122020000 |
4 | 213213201120 |
5 | 10124313441 |
6 | 1010333000 |
7 | 154163262 |
oct | 47474130 |
9 | 21478200 |
10 | 10385496 |
11 | 5953860 |
12 | 358a160 |
13 | 21c8184 |
14 | 1544b32 |
15 | da22b6 |
hex | 9e7858 |
10385496 has 160 divisors (see below), whose sum is σ = 33454080. Its totient is φ = 2980800.
The previous prime is 10385483. The next prime is 10385497. The reversal of 10385496 is 69458301.
10385496 is a `hidden beast` number, since 103 + 8 + 549 + 6 = 666.
10385496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
It is a self number, because there is not a number n which added to its sum of digits gives 10385496.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10385497) 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, 220945 + ... + 220991.
It is an arithmetic number, because the mean of its divisors is an integer number (209088).
Almost surely, 210385496 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 10385496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727040).
10385496 is an abundant number, since it is smaller than the sum of its proper divisors (23068584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10385496 is a wasteful number, since it uses less digits than its factorization.
10385496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 10385496 is about 3222.6535649989. The cubic root of 10385496 is about 218.1770578507.
It can be divided in two parts, 103 and 85496, that multiplied together give a palindrome (8806088).
The spelling of 10385496 in words is "ten million, three hundred eighty-five thousand, four hundred ninety-six".
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