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2020053024 = 253211532227
BaseRepresentation
bin111100001100111…
…1001000000100000
312012210002022210200
41320121321000200
513114113144044
6532240425200
7101026111263
oct17031710040
95183068720
102020053024
119472a3810
12484618200
13262678962
141523d8cda
15bc524369
hex78679020

2020053024 has 216 divisors, whose sum is σ = 6415364592. Its totient is φ = 597941760.

The previous prime is 2020053023. The next prime is 2020053037. The reversal of 2020053024 is 4203500202.

It is a Cunningham number, because it is equal to 449452-1.

It is a super-2 number, since 2×20200530242 = 8161228439543089152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2020052988 and 2020053006.

It is not an unprimeable number, because it can be changed into a prime (2020053023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8898799 + ... + 8899025.

It is an arithmetic number, because the mean of its divisors is an integer number (29700762).

Almost surely, 22020053024 is an apocalyptic number.

2020053024 is a gapful number since it is divisible by the number (24) 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 2020053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207682296).

2020053024 is an abundant number, since it is smaller than the sum of its proper divisors (4395311568).

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

2020053024 is a wasteful number, since it uses less digits than its factorization.

2020053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2020053024 is about 44944.9999888753. Note that the first 4 decimals coincide. The cubic root of 2020053024 is about 1264.1179254930.

Adding to 2020053024 its reverse (4203500202), we get a palindrome (6223553226).

The spelling of 2020053024 in words is "two billion, twenty million, fifty-three thousand, twenty-four".