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2328820 = 22513353
BaseRepresentation
bin1000111000100011110100
311101022112121
420320203310
51044010240
6121525324
725536364
oct10704364
94338477
102328820
11135074a
12943844
13637000
144489a4
1531004a
hex2388f4

2328820 has 48 divisors (see below), whose sum is σ = 5397840. Its totient is φ = 843648.

The previous prime is 2328791. The next prime is 2328827. The reversal of 2328820 is 288232.

2328820 = T29 + T30 + ... + T240.

2328820 = 3872 + 3882 + ... + 4012.

It can be written as a sum of positive squares in 8 ways, for example, as 1507984 + 820836 = 1228^2 + 906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43914 + ... + 43966.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

22328820 is an apocalyptic number.

2328820 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 2328820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698920).

2328820 is an abundant number, since it is smaller than the sum of its proper divisors (3069020).

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

2328820 is a wasteful number, since it uses less digits than its factorization.

2328820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2328820 is about 1526.0471814462. The cubic root of 2328820 is about 132.5496669149.

The spelling of 2328820 in words is "two million, three hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 169 212 260 265 338 530 676 689 845 1060 1378 1690 2197 2756 3380 3445 4394 6890 8788 8957 10985 13780 17914 21970 35828 43940 44785 89570 116441 179140 232882 465764 582205 1164410 2328820