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2021304032 = 251122322697
BaseRepresentation
bin111100001111010…
…1010011011100000
312012212102212212022
41320132222123200
513114423212112
6532323321012
7101042541446
oct17036523340
95185385768
102021304032
11947a78700
12484b20168
132629c61b7
14152642b96
15bc6bed72
hex787aa6e0

2021304032 has 72 divisors (see below), whose sum is σ = 4564477008. Its totient is φ = 878789120.

The previous prime is 2021304023. The next prime is 2021304049. The reversal of 2021304032 is 2304031202.

It is a self number, because there is not a number n which added to its sum of digits gives 2021304032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77708 + ... + 100404.

It is an arithmetic number, because the mean of its divisors is an integer number (63395514).

Almost surely, 22021304032 is an apocalyptic number.

2021304032 is a gapful number since it is divisible by the number (22) 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 2021304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282238504).

2021304032 is an abundant number, since it is smaller than the sum of its proper divisors (2543172976).

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

2021304032 is a wasteful number, since it uses less digits than its factorization.

2021304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22752 (or 22733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2021304032 is about 44958.9149335257. The cubic root of 2021304032 is about 1264.3788254588.

Adding to 2021304032 its reverse (2304031202), we get a palindrome (4325335234).

The spelling of 2021304032 in words is "two billion, twenty-one million, three hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1936 2024 2783 3872 4048 5566 8096 11132 22264 22697 44528 45394 89056 90788 181576 249667 363152 499334 522031 726304 998668 1044062 1997336 2088124 2746337 3994672 4176248 5492674 5742341 7989344 8352496 10985348 11484682 16704992 21970696 22969364 43941392 45938728 63165751 87882784 91877456 126331502 183754912 252663004 505326008 1010652016 2021304032