Base | Representation |
---|---|
bin | 100110111000… |
… | …010101111000 |
3 | 201011211010200 |
4 | 212320111320 |
5 | 10102122443 |
6 | 1002242200 |
7 | 152430003 |
oct | 46702570 |
9 | 21154120 |
10 | 10192248 |
11 | 5831650 |
12 | 34b6360 |
13 | 215b221 |
14 | 14d453a |
15 | d64dd3 |
hex | 9b8578 |
10192248 has 96 divisors (see below), whose sum is σ = 31926960. Its totient is φ = 2903040.
The previous prime is 10192229. The next prime is 10192267. The reversal of 10192248 is 84229101.
10192248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10192229) and next prime (10192267).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13086 + ... + 13842.
It is a vampire number, since it can be written as 1122 ⋅ 9084 (with its own digits).
Almost surely, 210192248 is an apocalyptic number.
10192248 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 10192248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963480).
10192248 is an abundant number, since it is smaller than the sum of its proper divisors (21734712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10192248 is a wasteful number, since it uses less digits than its factorization.
10192248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 797 (or 790 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 10192248 is about 3192.5300311822. The cubic root of 10192248 is about 216.8153341278.
It can be divided in two parts, 10192 and 248, that added together give a triangular number (10440 = T144).
The spelling of 10192248 in words is "ten million, one hundred ninety-two thousand, two hundred forty-eight".
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