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2382920 = 235411453
BaseRepresentation
bin1001000101110001001000
311111001202022
421011301020
51102223140
6123024012
726153201
oct11056110
94431668
102382920
111388361
1296b008
13655817
144605a8
153210b5
hex245c48

2382920 has 32 divisors (see below), whose sum is σ = 5496120. Its totient is φ = 929280.

The previous prime is 2382917. The next prime is 2382937. The reversal of 2382920 is 292832.

It can be written as a sum of positive squares in 4 ways, for example, as 1965604 + 417316 = 1402^2 + 646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2382920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 914 + ... + 2366.

22382920 is an apocalyptic number.

2382920 is a gapful number since it is divisible by the number (20) 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 2382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748060).

2382920 is an abundant number, since it is smaller than the sum of its proper divisors (3113200).

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

2382920 is a wasteful number, since it uses less digits than its factorization.

2382920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2382920 is about 1543.6709493930. The cubic root of 2382920 is about 133.5682248407.

The spelling of 2382920 in words is "two million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1453 1640 2906 5812 7265 11624 14530 29060 58120 59573 119146 238292 297865 476584 595730 1191460 2382920