Base | Representation |
---|---|
bin | 100110111001… |
… | …011111000000 |
3 | 201012001120000 |
4 | 212321133000 |
5 | 10102300203 |
6 | 1002320000 |
7 | 152446440 |
oct | 46713700 |
9 | 21161500 |
10 | 10196928 |
11 | 5835115 |
12 | 34b9000 |
13 | 21603b1 |
14 | 14d6120 |
15 | d664a3 |
hex | 9b97c0 |
10196928 has 140 divisors (see below), whose sum is σ = 34667952. Its totient is φ = 2903040.
The previous prime is 10196903. The next prime is 10196929. The reversal of 10196928 is 82969101.
10196928 is digitally balanced in base 2 and base 4, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 10196892 and 10196901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10196929) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36148 + ... + 36428.
Almost surely, 210196928 is an apocalyptic number.
10196928 is a gapful number since it is divisible by the number (18) 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 10196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333976).
10196928 is an abundant number, since it is smaller than the sum of its proper divisors (24471024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10196928 is an equidigital number, since it uses as much as digits as its factorization.
10196928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312 (or 293 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 36.
The square root of 10196928 is about 3193.2629080613. The cubic root of 10196928 is about 216.8485142629.
The spelling of 10196928 in words is "ten million, one hundred ninety-six thousand, nine hundred twenty-eight".
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