Base | Representation |
---|---|
bin | 100111100010… |
… | …010000100010 |
3 | 201111112122120 |
4 | 213202100202 |
5 | 10123121223 |
6 | 1010045110 |
7 | 154043364 |
oct | 47422042 |
9 | 21445576 |
10 | 10363938 |
11 | 5939642 |
12 | 3579796 |
13 | 21bb410 |
14 | 153ad34 |
15 | d9abe3 |
hex | 9e2422 |
10363938 has 64 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 2965248.
The previous prime is 10363919. The next prime is 10363943. The reversal of 10363938 is 83936301.
It is a super-3 number, since 3×103639383 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 10363899 and 10363908.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95028 + ... + 95136.
It is an arithmetic number, because the mean of its divisors is an integer number (374220).
Almost surely, 210363938 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10363938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).
10363938 is an abundant number, since it is smaller than the sum of its proper divisors (13586142).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10363938 is a wasteful number, since it uses less digits than its factorization.
10363938 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 203.
The product of its (nonzero) digits is 11664, while the sum is 33.
The square root of 10363938 is about 3219.3070682990. The cubic root of 10363938 is about 218.0259907849.
The spelling of 10363938 in words is "ten million, three hundred sixty-three thousand, nine hundred thirty-eight".
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