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2020131024 = 243832571973
BaseRepresentation
bin111100001101000…
…1100000011010000
312012210020021210120
41320122030003100
513114123143044
6532242230240
7101026554552
oct17032140320
95183207716
102020131024
1194734737a
12484655380
132626a5302
141524194d2
15bc53c519
hex7868c0d0

2020131024 has 80 divisors (see below), whose sum is σ = 5304785472. Its totient is φ = 662339584.

The previous prime is 2020131011. The next prime is 2020131037. The reversal of 2020131024 is 4201310202.

It is an interprime number because it is at equal distance from previous prime (2020131011) and next prime (2020131037).

It is a junction number, because it is equal to n+sod(n) for n = 2020130994 and 2020131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022902 + ... + 1024874.

Almost surely, 22020131024 is an apocalyptic number.

2020131024 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 2020131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652392736).

2020131024 is an abundant number, since it is smaller than the sum of its proper divisors (3284654448).

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

2020131024 is a wasteful number, since it uses less digits than its factorization.

2020131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2020131024 is about 44945.8677077215. The cubic root of 2020131024 is about 1264.1341956812.

Adding to 2020131024 its reverse (4201310202), we get a palindrome (6221441226).

The spelling of 2020131024 in words is "two billion, twenty million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 257 332 498 514 664 771 996 1028 1328 1542 1973 1992 2056 3084 3946 3984 4112 5919 6168 7892 11838 12336 15784 21331 23676 31568 42662 47352 63993 85324 94704 127986 163759 170648 255972 327518 341296 491277 507061 511944 655036 982554 1014122 1023888 1310072 1521183 1965108 2028244 2620144 3042366 3930216 4056488 6084732 7860432 8112976 12169464 24338928 42086063 84172126 126258189 168344252 252516378 336688504 505032756 673377008 1010065512 2020131024