Base | Representation |
---|---|
bin | 101000011110… |
… | …111011000100 |
3 | 201222011111121 |
4 | 220132323010 |
5 | 10204044140 |
6 | 1015243324 |
7 | 156130000 |
oct | 50367304 |
9 | 21864447 |
10 | 10612420 |
11 | 5a992a5 |
12 | 3679544 |
13 | 2277550 |
14 | 15a3700 |
15 | de964a |
hex | a1eec4 |
10612420 has 120 divisors (see below), whose sum is σ = 29645784. Its totient is φ = 3161088.
The previous prime is 10612417. The next prime is 10612421. The reversal of 10612420 is 2421601.
10612420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 9834496 = 882^2 + 3136^2 .
It is a super-2 number, since 2×106124202 = 225246916512800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10612394 and 10612403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10612421) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624252 + ... + 624268.
Almost surely, 210612420 is an apocalyptic number.
10612420 is a gapful number since it is divisible by the number (10) 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 10612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822892).
10612420 is an abundant number, since it is smaller than the sum of its proper divisors (19033364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10612420 is a wasteful number, since it uses less digits than its factorization.
10612420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 44 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 10612420 is about 3257.6709471646. The cubic root of 10612420 is about 219.7546852369.
It can be divided in two parts, 1061 and 2420, that added together give a square (3481 = 592).
The spelling of 10612420 in words is "ten million, six hundred twelve thousand, four hundred twenty".
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