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2041431020 = 2254312718691
BaseRepresentation
bin111100110101101…
…1100001111101100
312021021022102220022
41321223130033230
513140101243040
6534322541312
7101405606636
oct17153341754
95237272808
102041431020
11958375382
1248b807838
13266c22365
141551a1a56
15be3486b5
hex79adc3ec

2041431020 has 48 divisors (see below), whose sum is σ = 4421480448. Its totient is φ = 791259840.

The previous prime is 2041431019. The next prime is 2041431023. The reversal of 2041431020 is 201341402.

It is a self number, because there is not a number n which added to its sum of digits gives 2041431020.

It is not an unprimeable number, because it can be changed into a prime (2041431023) 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 15 ways as a sum of consecutive naturals, for example, 99875 + ... + 118565.

It is an arithmetic number, because the mean of its divisors is an integer number (92114176).

Almost surely, 22041431020 is an apocalyptic number.

2041431020 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 2041431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210740224).

2041431020 is an abundant number, since it is smaller than the sum of its proper divisors (2380049428).

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

2041431020 is a wasteful number, since it uses less digits than its factorization.

2041431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18870 (or 18868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2041431020 is about 45182.1980430346. The cubic root of 2041431020 is about 1268.5616261378.

Adding to 2041431020 its reverse (201341402), we get a palindrome (2242772422).

The spelling of 2041431020 in words is "two billion, forty-one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1270 2540 5461 10922 18691 21844 27305 37382 54610 74764 93455 109220 186910 373820 803713 1607426 2373757 3214852 4018565 4747514 8037130 9495028 11868785 16074260 23737570 47475140 102071551 204143102 408286204 510357755 1020715510 2041431020