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10820380 = 2251493631
BaseRepresentation
bin101001010001…
…101100011100
3202100201202211
4221101230130
510232223010
61023530204
7160654204
oct51215434
922321684
1010820380
11612056a
123759964
13231b0bc
141619404
15e3b08a
hexa51b1c

10820380 has 24 divisors (see below), whose sum is σ = 22881600. Its totient is φ = 4297920.

The previous prime is 10820377. The next prime is 10820399. The reversal of 10820380 is 8302801.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1165 + ... + 4795.

It is an arithmetic number, because the mean of its divisors is an integer number (953400).

Almost surely, 210820380 is an apocalyptic number.

10820380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820380 is an abundant number, since it is smaller than the sum of its proper divisors (12061220).

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

10820380 is a wasteful number, since it uses less digits than its factorization.

10820380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3787 counting only the distinct ones).

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

The square root of 10820380 is about 3289.4346018731. The cubic root of 10820380 is about 221.1808406310.

The spelling of 10820380 in words is "ten million, eight hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 3631 7262 14524 18155 36310 72620 541019 1082038 2164076 2705095 5410190 10820380