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2041253120 = 2851594729
BaseRepresentation
bin111100110101011…
…0000110100000000
312021020222101212102
41321222300310000
513140030044440
6534315045532
7101404236164
oct17152606400
95236871772
102041253120
11958263755
1248b7408a8
13266b8c3aa
14155156ca4
15be310b15
hex79ab0d00

2041253120 has 36 divisors (see below), whose sum is σ = 4889442180. Its totient is φ = 816500736.

The previous prime is 2041253117. The next prime is 2041253167. The reversal of 2041253120 is 213521402.

It can be written as a sum of positive squares in 2 ways, for example, as 1400555776 + 640697344 = 37424^2 + 25312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2041253092 and 2041253101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 796085 + ... + 798644.

Almost surely, 22041253120 is an apocalyptic number.

2041253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041253120 is an abundant number, since it is smaller than the sum of its proper divisors (2848189060).

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

2041253120 is an equidigital number, since it uses as much as digits as its factorization.

2041253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594750 (or 1594736 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2041253120 is about 45180.2293044203. The cubic root of 2041253120 is about 1268.5247755712.

Adding to 2041253120 its reverse (213521402), we get a palindrome (2254774522).

The spelling of 2041253120 in words is "two billion, forty-one million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1594729 3189458 6378916 7973645 12757832 15947290 25515664 31894580 51031328 63789160 102062656 127578320 204125312 255156640 408250624 510313280 1020626560 2041253120