Base | Representation |
---|---|
bin | 100111100000… |
… | …110010011010 |
3 | 201111020101110 |
4 | 213200302122 |
5 | 10122423124 |
6 | 1010001150 |
7 | 154020000 |
oct | 47406232 |
9 | 21436343 |
10 | 10357914 |
11 | 5935066 |
12 | 35761b6 |
13 | 21b8758 |
14 | 1538a70 |
15 | d99029 |
hex | 9e0c9a |
10357914 has 40 divisors (see below), whose sum is σ = 24200640. Its totient is φ = 2955288.
The previous prime is 10357877. The next prime is 10357933. The reversal of 10357914 is 41975301.
It is a super-3 number, since 3×103579143 (a number of 22 digits) contains 333 as substring.
It is a Curzon number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14047 + ... + 14765.
It is an arithmetic number, because the mean of its divisors is an integer number (605016).
Almost surely, 210357914 is an apocalyptic number.
10357914 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 10357914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100320).
10357914 is an abundant number, since it is smaller than the sum of its proper divisors (13842726).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10357914 is an frugal number, since it uses more digits than its factorization.
10357914 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 752 (or 731 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 30.
The square root of 10357914 is about 3218.3713272399. The cubic root of 10357914 is about 217.9837403354.
The spelling of 10357914 in words is "ten million, three hundred fifty-seven thousand, nine hundred fourteen".
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