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2020871600 = 2452111727017
BaseRepresentation
bin111100001110100…
…0000110110110000
312012211121220200022
41320131000312300
513114320342400
6532310143012
7101036060636
oct17035006660
95184556608
102020871600
11947802820
12484951a68
132628a4417
1415256d356
15bc636b85
hex78740db0

2020871600 has 120 divisors (see below), whose sum is σ = 5608288368. Its totient is φ = 691609600.

The previous prime is 2020871581. The next prime is 2020871603. The reversal of 2020871600 is 61780202.

It is a self number, because there is not a number n which added to its sum of digits gives 2020871600.

It is not an unprimeable number, because it can be changed into a prime (2020871603) 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, 61292 + ... + 88308.

Almost surely, 22020871600 is an apocalyptic number.

2020871600 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 2020871600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804144184).

2020871600 is an abundant number, since it is smaller than the sum of its proper divisors (3587416768).

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

2020871600 is a wasteful number, since it uses less digits than its factorization.

2020871600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27063 (or 27052 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2020871600 is about 44954.1054854837. The cubic root of 2020871600 is about 1264.2886531656.

The spelling of 2020871600 in words is "two billion, twenty million, eight hundred seventy-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 27017 37400 54034 74800 108068 135085 216136 270170 297187 432272 459289 540340 594374 675425 918578 1080680 1188748 1350850 1485935 1837156 2161360 2296445 2377496 2701700 2971870 3674312 4592890 4754992 5052179 5403400 5943740 7348624 7429675 9185780 10104358 10806800 11482225 11887480 14859350 18371560 20208716 22964450 23774960 25260895 29718700 36743120 40417432 45928900 50521790 59437400 80834864 91857800 101043580 118874800 126304475 183715600 202087160 252608950 404174320 505217900 1010435800 2020871600