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2021402000 = 24531759453
BaseRepresentation
bin111100001111100…
…0010010110010000
312012212121212020202
41320133002112100
513114434331000
6532325354332
7101043430202
oct17037022620
95185555222
102021402000
11948035272
12484b689a8
13262a2b977
1415266a772
15bc6dddd5
hex787c2590

2021402000 has 80 divisors (see below), whose sum is σ = 5175351792. Its totient is φ = 760985600.

The previous prime is 2021401997. The next prime is 2021402059. The reversal of 2021402000 is 2041202.

It can be written as a sum of positive squares in 8 ways, for example, as 158961664 + 1862440336 = 12608^2 + 43156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274 + ... + 63726.

Almost surely, 22021402000 is an apocalyptic number.

2021402000 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 2021402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587675896).

2021402000 is an abundant number, since it is smaller than the sum of its proper divisors (3153949792).

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

2021402000 is a wasteful number, since it uses less digits than its factorization.

2021402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59493 (or 59477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2021402000 is about 44960.0044483984. The cubic root of 2021402000 is about 1264.3992523155.

Adding to 2021402000 its reverse (2041202), we get a palindrome (2023443202).

The spelling of 2021402000 in words is "two billion, twenty-one million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 59453 118906 237812 297265 475624 594530 951248 1010701 1189060 1486325 2021402 2378120 2972650 4042804 4756240 5053505 5945300 7431625 8085608 10107010 11890600 14863250 16171216 20214020 23781200 25267525 29726500 40428040 50535050 59453000 80856080 101070100 118906000 126337625 202140200 252675250 404280400 505350500 1010701000 2021402000