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2090495340 = 2232515176913
BaseRepresentation
bin111110010011010…
…0110110101101100
312101200122011111100
41330212212311230
513240131322330
6543234323100
7102542626413
oct17446466554
95350564440
102090495340
119830370aa
124a4129490
132741408bb
1415b8d447a
15c37db060
hex7c9a6d6c

2090495340 has 72 divisors (see below), whose sum is σ = 6383246688. Its totient is φ = 553766400.

The previous prime is 2090495291. The next prime is 2090495357. The reversal of 2090495340 is 435940902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2090495295 and 2090495304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11277 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (88656204).

Almost surely, 22090495340 is an apocalyptic number.

2090495340 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 2090495340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191623344).

2090495340 is an abundant number, since it is smaller than the sum of its proper divisors (4292751348).

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

2090495340 is a wasteful number, since it uses less digits than its factorization.

2090495340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77079 (or 77074 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2090495340 is about 45721.9349984228. The cubic root of 2090495340 is about 1278.6442636089.

The spelling of 2090495340 in words is "two billion, ninety million, four hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5436 6795 9060 13590 27180 76913 153826 230739 307652 384565 461478 692217 769130 922956 1153695 1384434 1538260 2307390 2768868 3461085 4614780 6922170 11613863 13844340 23227726 34841589 46455452 58069315 69683178 104524767 116138630 139366356 174207945 209049534 232277260 348415890 418099068 522623835 696831780 1045247670 2090495340