Base | Representation |
---|---|
bin | 100110010010… |
… | …011111100100 |
3 | 200212221110220 |
4 | 212102133210 |
5 | 10032142340 |
6 | 555044340 |
7 | 151213014 |
oct | 46223744 |
9 | 20787426 |
10 | 10037220 |
11 | 5736126 |
12 | 34406b0 |
13 | 21057ab |
14 | 1493c44 |
15 | d33ed0 |
hex | 9927e4 |
10037220 has 48 divisors (see below), whose sum is σ = 28340928. Its totient is φ = 2654080.
The previous prime is 10037213. The next prime is 10037267. The reversal of 10037220 is 2273001.
10037220 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 (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10037220.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7222 + ... + 8498.
It is an arithmetic number, because the mean of its divisors is an integer number (590436).
Almost surely, 210037220 is an apocalyptic number.
10037220 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 10037220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170464).
10037220 is an abundant number, since it is smaller than the sum of its proper divisors (18303708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10037220 is a wasteful number, since it uses less digits than its factorization.
10037220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 15.
The square root of 10037220 is about 3168.1571930698. The cubic root of 10037220 is about 215.7104315956.
The spelling of 10037220 in words is "ten million, thirty-seven thousand, two hundred twenty".
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