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2027914728 = 23376722689
BaseRepresentation
bin111100011011111…
…1000010111101000
312020022212202000220
41320313320113220
513123121232403
6533121130040
7101152663560
oct17067702750
95208782026
102027914728
11950783394
12487189920
1326419c158
14153483da0
15bd078953
hex78df85e8

2027914728 has 96 divisors (see below), whose sum is σ = 5883998400. Its totient is φ = 570544128.

The previous prime is 2027914727. The next prime is 2027914739. The reversal of 2027914728 is 8274197202.

It is a super-2 number, since 2×20279147282 = 8224876288078627968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2027914728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027914723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752808 + ... + 755496.

It is an arithmetic number, because the mean of its divisors is an integer number (61291650).

Almost surely, 22027914728 is an apocalyptic number.

2027914728 is a gapful number since it is divisible by the number (28) 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 2027914728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941999200).

2027914728 is an abundant number, since it is smaller than the sum of its proper divisors (3856083672).

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

2027914728 is a wasteful number, since it uses less digits than its factorization.

2027914728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2027914728 is about 45032.3742212200. The cubic root of 2027914728 is about 1265.7557135679.

The spelling of 2027914728 in words is "two billion, twenty-seven million, nine hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2689 2814 3752 4489 5378 5628 8067 8978 10756 11256 13467 16134 17956 18823 21512 26934 31423 32268 35912 37646 53868 56469 62846 64536 75292 94269 107736 112938 125692 150584 180163 188538 225876 251384 360326 377076 451752 540489 720652 754152 1080978 1261141 1441304 2161956 2522282 3783423 4323912 5044564 7566846 10089128 12070921 15133692 24141842 30267384 36212763 48283684 72425526 84496447 96567368 144851052 168992894 253489341 289702104 337985788 506978682 675971576 1013957364 2027914728