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2059380 = 2232517673
BaseRepresentation
bin111110110110001110100
310212121221100
413312301310
51011400010
6112050100
723335011
oct7666164
93777840
102059380
111187274
12833930
1357148b
143b8708
152aa2c0
hex1f6c74

2059380 has 72 divisors (see below), whose sum is σ = 6624072. Its totient is φ = 516096.

The previous prime is 2059367. The next prime is 2059381. The reversal of 2059380 is 839502.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 1774224 = 534^2 + 1332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (92001).

22059380 is an apocalyptic number.

2059380 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 2059380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312036).

2059380 is an abundant number, since it is smaller than the sum of its proper divisors (4564692).

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

2059380 is a wasteful number, since it uses less digits than its factorization.

2059380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2059380 is about 1435.0540059524. The cubic root of 2059380 is about 127.2268662843.

The spelling of 2059380 in words is "two million, fifty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 673 765 1020 1346 1530 2019 2692 3060 3365 4038 6057 6730 8076 10095 11441 12114 13460 20190 22882 24228 30285 34323 40380 45764 57205 60570 68646 102969 114410 121140 137292 171615 205938 228820 343230 411876 514845 686460 1029690 2059380