Search a number
-
+
2021003040 = 253572292963
BaseRepresentation
bin111100001110110…
…0000111100100000
312012211212120222110
41320131200330200
513114334044130
6532313035320
7101040146100
oct17035407440
95184776873
102021003040
11947892551
124849b5b40
1326291c1b4
141525a5200
15bc660ab0
hex78760f20

2021003040 has 288 divisors, whose sum is σ = 7663481280. Its totient is φ = 445863936.

The previous prime is 2021003009. The next prime is 2021003041. The reversal of 2021003040 is 403001202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2021003041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680599 + ... + 683561.

It is an arithmetic number, because the mean of its divisors is an integer number (26609310).

Almost surely, 22021003040 is an apocalyptic number.

2021003040 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 2021003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831740640).

2021003040 is an abundant number, since it is smaller than the sum of its proper divisors (5642478240).

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

2021003040 is a wasteful number, since it uses less digits than its factorization.

2021003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2021003040 is about 44955.5673971534. The cubic root of 2021003040 is about 1264.3160628730.

Adding to 2021003040 its reverse (403001202), we get a palindrome (2424004242).

The spelling of 2021003040 in words is "two billion, twenty-one million, three thousand, forty".