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2641360 = 245137241
BaseRepresentation
bin1010000100110111010000
311222012021011
422010313100
51134010420
6132340304
731310521
oct12046720
94865234
102641360
111544547
12a74694
13716347
144ca848
1537295a
hex284dd0

2641360 has 40 divisors (see below), whose sum is σ = 6211656. Its totient is φ = 1044480.

The previous prime is 2641357. The next prime is 2641363. The reversal of 2641360 is 631462.

It is an interprime number because it is at equal distance from previous prime (2641357) and next prime (2641363).

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 2039184 = 776^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10840 + ... + 11080.

22641360 is an apocalyptic number.

2641360 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 2641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105828).

2641360 is an abundant number, since it is smaller than the sum of its proper divisors (3570296).

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

2641360 is a wasteful number, since it uses less digits than its factorization.

2641360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2641360 is about 1625.2261381112. The cubic root of 2641360 is about 138.2321932927.

The spelling of 2641360 in words is "two million, six hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 241 274 482 548 685 964 1096 1205 1370 1928 2192 2410 2740 3856 4820 5480 9640 10960 19280 33017 66034 132068 165085 264136 330170 528272 660340 1320680 2641360