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10083620 = 225504181
BaseRepresentation
bin100110011101…
…110100100100
3200222022010102
4212131310210
510040133440
61000043232
7151465211
oct46356444
920868112
1010083620
115767a78
123463518
132120951
1414a6b08
15d42b15
hex99dd24

10083620 has 12 divisors (see below), whose sum is σ = 21175644. Its totient is φ = 4033440.

The previous prime is 10083613. The next prime is 10083643. The reversal of 10083620 is 2638001.

10083620 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 2 ways, for example, as 7963684 + 2119936 = 2822^2 + 1456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 504181 = 10083620 / (1 + 0 + 0 + 8 + 3 + 6 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10083592 and 10083601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252071 + ... + 252110.

It is an arithmetic number, because the mean of its divisors is an integer number (1764637).

Almost surely, 210083620 is an apocalyptic number.

10083620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10083620 is an abundant number, since it is smaller than the sum of its proper divisors (11092024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10083620 is a wasteful number, since it uses less digits than its factorization.

10083620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504190 (or 504188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10083620 is about 3175.4716185159. The cubic root of 10083620 is about 216.0423156693.

The spelling of 10083620 in words is "ten million, eighty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 504181 1008362 2016724 2520905 5041810 10083620