Base | Representation |
---|---|
bin | 100111000010… |
… | …110111110000 |
3 | 201021000022000 |
4 | 213002313300 |
5 | 10110013001 |
6 | 1003214000 |
7 | 152666514 |
oct | 47026760 |
9 | 21230260 |
10 | 10235376 |
11 | 5860a98 |
12 | 3517300 |
13 | 2174a48 |
14 | 1506144 |
15 | d72a86 |
hex | 9c2df0 |
10235376 has 160 divisors (see below), whose sum is σ = 32736000. Its totient is φ = 3048192.
The previous prime is 10235371. The next prime is 10235383. The reversal of 10235376 is 67353201.
It is a happy number.
10235376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×102353762 = 209525843722752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10235371) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238011 + ... + 238053.
It is an arithmetic number, because the mean of its divisors is an integer number (204600).
Almost surely, 210235376 is an apocalyptic number.
10235376 is a gapful number since it is divisible by the number (16) 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 10235376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368000).
10235376 is an abundant number, since it is smaller than the sum of its proper divisors (22500624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10235376 is a wasteful number, since it uses less digits than its factorization.
10235376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108 (or 96 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 27.
The square root of 10235376 is about 3199.2774184181. The cubic root of 10235376 is about 217.1207182943.
Adding to 10235376 its reverse (67353201), we get a palindrome (77588577).
The spelling of 10235376 in words is "ten million, two hundred thirty-five thousand, three hundred seventy-six".
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