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2841380 = 2251761137
BaseRepresentation
bin1010110101101100100100
312100100122022
422311230210
51211411010
6140522312
733102623
oct12655444
95310568
102841380
111670853
12b50398
137863b9
1453d6ba
153b1d55
hex2b5b24

2841380 has 48 divisors (see below), whose sum is σ = 6468336. Its totient is φ = 1044480.

The previous prime is 2841373. The next prime is 2841401. The reversal of 2841380 is 831482.

2841380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 92416 + 2748964 = 304^2 + 1658^2 .

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 15 ways as a sum of consecutive naturals, for example, 20672 + ... + 20808.

It is an arithmetic number, because the mean of its divisors is an integer number (134757).

22841380 is an apocalyptic number.

2841380 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 2841380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234168).

2841380 is an abundant number, since it is smaller than the sum of its proper divisors (3626956).

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

2841380 is a wasteful number, since it uses less digits than its factorization.

2841380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2841380 is about 1685.6393445812. The cubic root of 2841380 is about 141.6369087823.

The spelling of 2841380 in words is "two million, eight hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 137 170 244 274 305 340 548 610 685 1037 1220 1370 2074 2329 2740 4148 4658 5185 8357 9316 10370 11645 16714 20740 23290 33428 41785 46580 83570 142069 167140 284138 568276 710345 1420690 2841380