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2021096880 = 243351131937
BaseRepresentation
bin111100001110111…
…0111110110110000
312012212001100201000
41320131313312300
513114400100010
6532315042000
7101041016505
oct17035676660
95185040630
102021096880
11947947000
12484a40300
13262952b1a
141525cb4ac
15bc67d7c0
hex78777db0

2021096880 has 640 divisors, whose sum is σ = 8278041600. Its totient is φ = 451630080.

The previous prime is 2021096851. The next prime is 2021096887. The reversal of 2021096880 is 886901202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021096887) 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 127 ways as a sum of consecutive naturals, for example, 54624222 + ... + 54624258.

It is an arithmetic number, because the mean of its divisors is an integer number (12934440).

Almost surely, 22021096880 is an apocalyptic number.

2021096880 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 2021096880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139020800).

2021096880 is an abundant number, since it is smaller than the sum of its proper divisors (6256944720).

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

2021096880 is a wasteful number, since it uses less digits than its factorization.

2021096880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2021096880 is about 44956.6110822424. The cubic root of 2021096880 is about 1264.3356309754.

The spelling of 2021096880 in words is "two billion, twenty-one million, ninety-six thousand, eight hundred eighty".