Base | Representation |
---|---|
bin | 100110101111… |
… | …101001100000 |
3 | 201010000021212 |
4 | 212233221200 |
5 | 10100003030 |
6 | 1001405252 |
7 | 152221124 |
oct | 46575140 |
9 | 21100255 |
10 | 10156640 |
11 | 580791a |
12 | 3499828 |
13 | 2147c60 |
14 | 14c5584 |
15 | d59595 |
hex | 9afa60 |
10156640 has 96 divisors (see below), whose sum is σ = 27306720. Its totient is φ = 3538944.
The previous prime is 10156637. The next prime is 10156649. The reversal of 10156640 is 4665101.
10156640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10156649) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39392 + ... + 39648.
It is an arithmetic number, because the mean of its divisors is an integer number (284445).
Almost surely, 210156640 is an apocalyptic number.
10156640 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 10156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653360).
10156640 is an abundant number, since it is smaller than the sum of its proper divisors (17150080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10156640 is a wasteful number, since it uses less digits than its factorization.
10156640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 296 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 23.
The square root of 10156640 is about 3186.9483836423. The cubic root of 10156640 is about 216.5625482649.
The spelling of 10156640 in words is "ten million, one hundred fifty-six thousand, six hundred forty".
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