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2020024064 = 2819597039
BaseRepresentation
bin111100001100111…
…0001111100000000
312012210000212002002
41320121301330000
513114111232224
6532240043132
7101025630662
oct17031617400
95183025062
102020024064
11947283a83
124846034a8
13262668716
141523cc532
15bc51a9ae
hex78671f00

2020024064 has 72 divisors (see below), whose sum is σ = 4316928000. Its totient is φ = 940502016.

The previous prime is 2020024057. The next prime is 2020024067. The reversal of 2020024064 is 4604200202.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020024067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283457 + ... + 290495.

Almost surely, 22020024064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158464000).

2020024064 is an abundant number, since it is smaller than the sum of its proper divisors (2296903936).

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

2020024064 is an equidigital number, since it uses as much as digits as its factorization.

2020024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2020024064 is about 44944.6778161775. The cubic root of 2020024064 is about 1264.1118845575. Note that the first 3 decimals are identical.

Adding to 2020024064 its reverse (4604200202), we get a palindrome (6624224266).

The spelling of 2020024064 in words is "two billion, twenty million, twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 608 944 1121 1216 1888 2242 2432 3776 4484 4864 7039 7552 8968 14078 15104 17936 28156 35872 56312 71744 112624 133741 143488 225248 267482 286976 415301 450496 534964 830602 900992 1069928 1661204 1801984 2139856 3322408 4279712 6644816 7890719 8559424 13289632 15781438 17118848 26579264 31562876 34237696 53158528 63125752 106317056 126251504 252503008 505006016 1010012032 2020024064