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2381320 = 235371609
BaseRepresentation
bin1001000101011000001000
311110222120001
421011120020
51102200240
6123012344
726145424
oct11053010
94428501
102381320
111387137
1296a0b4
13654b86
1445db84
1532089a
hex245608

2381320 has 32 divisors (see below), whose sum is σ = 5506200. Its totient is φ = 926208.

The previous prime is 2381317. The next prime is 2381329. The reversal of 2381320 is 231832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2365444 + 15876 = 1538^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (2381329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676 + ... + 2284.

22381320 is an apocalyptic number.

2381320 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 2381320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753100).

2381320 is an abundant number, since it is smaller than the sum of its proper divisors (3124880).

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

2381320 is a wasteful number, since it uses less digits than its factorization.

2381320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2381320 is about 1543.1526172093. The cubic root of 2381320 is about 133.5383235699.

It can be divided in two parts, 2381 and 320, that added together give a triangular number (2701 = T73).

The spelling of 2381320 in words is "two million, three hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1609 3218 6436 8045 12872 16090 32180 59533 64360 119066 238132 297665 476264 595330 1190660 2381320