Search a number
-
+
2020400144 = 24722577041
BaseRepresentation
bin111100001101100…
…1101110000010000
312012210201221221222
41320123031300100
513114210301034
6532252104212
7101032055300
oct17033156020
95183657858
102020400144
11947510594
12484765068
1326276a959
14152489600
15bc59212e
hex786cdc10

2020400144 has 30 divisors (see below), whose sum is σ = 4553633214. Its totient is φ = 865885440.

The previous prime is 2020400143. The next prime is 2020400147. The reversal of 2020400144 is 4410040202.

It can be written as a sum of positive squares in only one way, i.e., 2017087744 + 3312400 = 44912^2 + 1820^2 .

It is not an unprimeable number, because it can be changed into a prime (2020400141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1287737 + ... + 1289304.

Almost surely, 22020400144 is an apocalyptic number.

It is an amenable number.

2020400144 is an abundant number, since it is smaller than the sum of its proper divisors (2533233070).

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

2020400144 is a wasteful number, since it uses less digits than its factorization.

2020400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577063 (or 2577050 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2020400144 is about 44948.8614316314. The cubic root of 2020400144 is about 1264.1903287876.

Adding to 2020400144 its reverse (4410040202), we get a palindrome (6430440346).

The spelling of 2020400144 in words is "two billion, twenty million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2577041 5154082 10308164 18039287 20616328 36078574 41232656 72157148 126275009 144314296 252550018 288628592 505100036 1010200072 2020400144