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2280495060 = 223458915817
BaseRepresentation
bin1000011111101101…
…1001011111010100
312212221011011010000
42013323121133110
514132301320220
61014142531300
7110340613434
oct20773313724
95787134100
102280495060
11a70309768
12537896b30
132a460617c
14178c322c4
15d531c390
hex87ed97d4

2280495060 has 120 divisors (see below), whose sum is σ = 7234836840. Its totient is φ = 601261056.

The previous prime is 2280495023. The next prime is 2280495089. The reversal of 2280495060 is 605940822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 314991504 + 1965503556 = 17748^2 + 44334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136272 + ... + 152088.

It is an arithmetic number, because the mean of its divisors is an integer number (60290307).

Almost surely, 22280495060 is an apocalyptic number.

2280495060 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 2280495060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617418420).

2280495060 is an abundant number, since it is smaller than the sum of its proper divisors (4954341780).

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

2280495060 is a wasteful number, since it uses less digits than its factorization.

2280495060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15927 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2280495060 is about 47754.5292092802. The cubic root of 2280495060 is about 1316.2641267629.

The spelling of 2280495060 in words is "two billion, two hundred eighty million, four hundred ninety-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1335 1602 1620 1780 2403 2670 3204 4005 4806 5340 7209 8010 9612 12015 14418 15817 16020 24030 28836 31634 36045 47451 48060 63268 72090 79085 94902 142353 144180 158170 189804 237255 284706 316340 427059 474510 569412 711765 854118 949020 1281177 1407713 1423530 1708236 2135295 2562354 2815426 2847060 4223139 4270590 5124708 5630852 6405885 7038565 8446278 8541180 12669417 12811770 14077130 16892556 21115695 25338834 25623540 28154260 38008251 42231390 50677668 63347085 76016502 84462780 114024753 126694170 152033004 190041255 228049506 253388340 380082510 456099012 570123765 760165020 1140247530 2280495060