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2045001280 = 26572413181
BaseRepresentation
bin111100111100100…
…0011111001000000
312021112000211101011
41321321003321000
513142010020110
6534531250304
7101451136600
oct17171037100
95245024334
102045001280
1195a393803
12490a49994
132678a243a
14155850c00
15be80148a
hex79e43e40

2045001280 has 168 divisors, whose sum is σ = 5804693496. Its totient is φ = 683827200.

The previous prime is 2045001229. The next prime is 2045001289. The reversal of 2045001280 is 821005402.

It can be written as a sum of positive squares in 4 ways, for example, as 92775424 + 1952225856 = 9632^2 + 44184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045001289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641290 + ... + 644470.

It is an arithmetic number, because the mean of its divisors is an integer number (34551747).

Almost surely, 22045001280 is an apocalyptic number.

2045001280 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 2045001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902346748).

2045001280 is an abundant number, since it is smaller than the sum of its proper divisors (3759692216).

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

2045001280 is a wasteful number, since it uses less digits than its factorization.

2045001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2045001280 is about 45221.6903708829. The cubic root of 2045001280 is about 1269.3007248447.

Adding to 2045001280 its reverse (821005402), we get a palindrome (2866006682).

The spelling of 2045001280 in words is "two billion, forty-five million, one thousand, two hundred eighty".