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2020848800 = 25523676883
BaseRepresentation
bin111100001110011…
…1011010010100000
312012211120202101212
41320130323102200
513114314130200
6532305445252
7101035634315
oct17034732240
95184522355
102020848800
11947797683
12484940828
13262896c29
14152564d0c
15bc630035
hex7873b4a0

2020848800 has 72 divisors (see below), whose sum is σ = 4947558336. Its totient is φ = 806019840.

The previous prime is 2020848779. The next prime is 2020848829. The reversal of 2020848800 is 88480202.

It is a super-2 number, since 2×20208488002 = 8167659744922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290159 + ... + 297041.

It is an arithmetic number, because the mean of its divisors is an integer number (68716088).

Almost surely, 22020848800 is an apocalyptic number.

2020848800 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 2020848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473779168).

2020848800 is an abundant number, since it is smaller than the sum of its proper divisors (2926709536).

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

2020848800 is a wasteful number, since it uses less digits than its factorization.

2020848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2020848800 is about 44953.8518928022. The cubic root of 2020848800 is about 1264.2838984697.

The spelling of 2020848800 in words is "two billion, twenty million, eight hundred forty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 367 400 734 800 1468 1835 2936 3670 5872 6883 7340 9175 11744 13766 14680 18350 27532 29360 34415 36700 55064 58720 68830 73400 110128 137660 146800 172075 220256 275320 293600 344150 550640 688300 1101280 1376600 2526061 2753200 5052122 5506400 10104244 12630305 20208488 25260610 40416976 50521220 63151525 80833952 101042440 126303050 202084880 252606100 404169760 505212200 1010424400 2020848800