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2081441360 = 24529230937
BaseRepresentation
bin111110000010000…
…0100011001010000
312101001121011202202
41330010010121100
513230322110420
6542312302332
7102402650105
oct17404043120
95331534682
102081441360
11978a12779
124a10a19a8
132722c080b
1415a618aac
15c2aed575
hex7c104650

2081441360 has 60 divisors (see below), whose sum is σ = 5012141628. Its totient is φ = 803841024.

The previous prime is 2081441333. The next prime is 2081441371. The reversal of 2081441360 is 631441802.

It can be written as a sum of positive squares in 6 ways, for example, as 143328784 + 1938112576 = 11972^2 + 44024^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 51812 + ... + 82748.

Almost surely, 22081441360 is an apocalyptic number.

2081441360 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 2081441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506070814).

2081441360 is an abundant number, since it is smaller than the sum of its proper divisors (2930700268).

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

2081441360 is a wasteful number, since it uses less digits than its factorization.

2081441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 30973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2081441360 is about 45622.8162217108. The cubic root of 2081441360 is about 1276.7956470236.

The spelling of 2081441360 in words is "two billion, eighty-one million, four hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 841 1160 1682 2320 3364 4205 6728 8410 13456 16820 30937 33640 61874 67280 123748 154685 247496 309370 494992 618740 897173 1237480 1794346 2474960 3588692 4485865 7177384 8971730 14354768 17943460 26018017 35886920 52036034 71773840 104072068 130090085 208144136 260180170 416288272 520360340 1040720680 2081441360