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2041432020 = 2232511341289
BaseRepresentation
bin111100110101101…
…1100011111010100
312021021022111021100
41321223130133110
513140101311040
6534322550100
7101405612565
oct17153343724
95237274240
102041432020
11958376101
1248b808330
13266c22954
141551a216c
15be348b30
hex79adc7d4

2041432020 has 36 divisors (see below), whose sum is σ = 6192344340. Its totient is φ = 544381824.

The previous prime is 2041432013. The next prime is 2041432021. The reversal of 2041432020 is 202341402.

It can be written as a sum of positive squares in 2 ways, for example, as 1482866064 + 558565956 = 38508^2 + 23634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2041431984 and 2041432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041432021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5670465 + ... + 5670824.

It is an arithmetic number, because the mean of its divisors is an integer number (172009565).

Almost surely, 22041432020 is an apocalyptic number.

2041432020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041432020 is an abundant number, since it is smaller than the sum of its proper divisors (4150912320).

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

2041432020 is a wasteful number, since it uses less digits than its factorization.

2041432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11341304 (or 11341299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2041432020 is about 45182.2091093386. The cubic root of 2041432020 is about 1268.5618332738.

Adding to 2041432020 its reverse (202341402), we get a palindrome (2243773422).

The spelling of 2041432020 in words is "two billion, forty-one million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11341289 22682578 34023867 45365156 56706445 68047734 102071601 113412890 136095468 170119335 204143202 226825780 340238670 408286404 510358005 680477340 1020716010 2041432020