Base | Representation |
---|---|
bin | 100111100011… |
… | …010110011110 |
3 | 201111202210100 |
4 | 213203112132 |
5 | 10123242124 |
6 | 1010121530 |
7 | 154062420 |
oct | 47432636 |
9 | 21452710 |
10 | 10368414 |
11 | 5941a41 |
12 | 35802a6 |
13 | 21c0474 |
14 | 153c810 |
15 | d9c1c9 |
hex | 9e359e |
10368414 has 96 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2721600.
The previous prime is 10368403. The next prime is 10368439. The reversal of 10368414 is 41486301.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145999 + ... + 146069.
It is an arithmetic number, because the mean of its divisors is an integer number (290160).
Almost surely, 210368414 is an apocalyptic number.
10368414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10368414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).
10368414 is an abundant number, since it is smaller than the sum of its proper divisors (17486946).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10368414 is a wasteful number, since it uses less digits than its factorization.
10368414 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 166 (or 163 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 10368414 is about 3220.0021739123. The cubic root of 10368414 is about 218.0573734466.
The spelling of 10368414 in words is "ten million, three hundred sixty-eight thousand, four hundred fourteen".
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