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2020400400 = 243521683667
BaseRepresentation
bin111100001101100…
…1101110100010000
312012210201222022110
41320123031310100
513114210303100
6532252105320
7101032056114
oct17033156420
95183658273
102020400400
119475107a7
12484765240
1326276aac5
14152489744
15bc592250
hex786cdd10

2020400400 has 60 divisors (see below), whose sum is σ = 6472019792. Its totient is φ = 538773120.

The previous prime is 2020400381. The next prime is 2020400407. The reversal of 2020400400 is 40040202.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2020400407) 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, 840634 + ... + 843033.

Almost surely, 22020400400 is an apocalyptic number.

2020400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020400400 is an abundant number, since it is smaller than the sum of its proper divisors (4451619392).

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

2020400400 is a wasteful number, since it uses less digits than its factorization.

2020400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683688 (or 1683677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2020400400 is about 44948.8642793119. The cubic root of 2020400400 is about 1264.1903821817.

Adding to 2020400400 its reverse (40040202), we get a palindrome (2060440602).

The spelling of 2020400400 in words is "two billion, twenty million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1683667 3367334 5051001 6734668 8418335 10102002 13469336 16836670 20204004 25255005 26938672 33673340 40408008 42091675 50510010 67346680 80816016 84183350 101020020 126275025 134693360 168366700 202040040 252550050 336733400 404080080 505100100 673466800 1010200200 2020400400