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10083820 = 2253471453
BaseRepresentation
bin100110011101…
…110111101100
3200222022101211
4212131313230
510040140240
61000044204
7151465615
oct46356754
920868354
1010083820
11576813a
123463664
132120a76
1414a6c0c
15d42bea
hex99ddec

10083820 has 24 divisors (see below), whose sum is σ = 21251664. Its totient is φ = 4019136.

The previous prime is 10083817. The next prime is 10083823. The reversal of 10083820 is 2838001.

It is an interprime number because it is at equal distance from previous prime (10083817) and next prime (10083823).

It is a junction number, because it is equal to n+sod(n) for n = 10083791 and 10083800.

It is not an unprimeable number, because it can be changed into a prime (10083823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6214 + ... + 7666.

It is an arithmetic number, because the mean of its divisors is an integer number (885486).

Almost surely, 210083820 is an apocalyptic number.

10083820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10083820 is an abundant number, since it is smaller than the sum of its proper divisors (11167844).

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

10083820 is a wasteful number, since it uses less digits than its factorization.

10083820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10083820 is about 3175.5031097450. The cubic root of 10083820 is about 216.0437439982.

The spelling of 10083820 in words is "ten million, eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 347 694 1388 1453 1735 2906 3470 5812 6940 7265 14530 29060 504191 1008382 2016764 2520955 5041910 10083820