Search a number
-
+
2020011200 = 26521279941
BaseRepresentation
bin111100001100110…
…1110110011000000
312012210000012102122
41320121232303000
513114110324300
6532235503412
7101025545324
oct17031566300
95183005378
102020011200
11947275349
124845b7b68
132626628cc
141523c7984
15bc516c85
hex7866ecc0

2020011200 has 84 divisors (see below), whose sum is σ = 5010131712. Its totient is φ = 801561600.

The previous prime is 2020011199. The next prime is 2020011209. The reversal of 2020011200 is 21100202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2020011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198230 + ... + 208170.

Almost surely, 22020011200 is an apocalyptic number.

2020011200 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 2020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505065856).

2020011200 is an abundant number, since it is smaller than the sum of its proper divisors (2990120512).

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

2020011200 is a wasteful number, since it uses less digits than its factorization.

2020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2020011200 is about 44944.5347066804. The cubic root of 2020011200 is about 1264.1092011621.

Adding to 2020011200 its reverse (21100202), we get a palindrome (2041111402).

The spelling of 2020011200 in words is "two billion, twenty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 160 200 254 320 400 508 635 800 1016 1270 1600 2032 2540 3175 4064 5080 6350 8128 9941 10160 12700 19882 20320 25400 39764 40640 49705 50800 79528 99410 101600 159056 198820 203200 248525 318112 397640 497050 636224 795280 994100 1262507 1590560 1988200 2525014 3181120 3976400 5050028 6312535 7952800 10100056 12625070 15905600 20200112 25250140 31562675 40400224 50500280 63125350 80800448 101000560 126250700 202001120 252501400 404002240 505002800 1010005600 2020011200