Base | Representation |
---|---|
bin | 100111011110… |
… | …101010001000 |
3 | 201110210102102 |
4 | 213132222020 |
5 | 10122133232 |
6 | 1005452532 |
7 | 153652400 |
oct | 47365210 |
9 | 21423372 |
10 | 10349192 |
11 | 5929557 |
12 | 3571148 |
13 | 21b47a9 |
14 | 1535800 |
15 | d96662 |
hex | 9dea88 |
10349192 has 48 divisors (see below), whose sum is σ = 23916060. Its totient is φ = 4171776.
The previous prime is 10349191. The next prime is 10349203. The reversal of 10349192 is 29194301.
It is a happy number.
10349192 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 10278436 + 70756 = 3206^2 + 266^2 .
10349192 is strictly pandigital in base 8.
It is a nialpdrome in base 15.
It is not an unprimeable number, because it can be changed into a prime (10349191) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5888 + ... + 7440.
Almost surely, 210349192 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 10349192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958030).
10349192 is an abundant number, since it is smaller than the sum of its proper divisors (13566868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10349192 is a wasteful number, since it uses less digits than its factorization.
10349192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1590 (or 1579 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 29.
The square root of 10349192 is about 3217.0160086639. The cubic root of 10349192 is about 217.9225379192.
The spelling of 10349192 in words is "ten million, three hundred forty-nine thousand, one hundred ninety-two".
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