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2020153440 = 2535311271069
BaseRepresentation
bin111100001101001…
…0001100001100000
312012210021102112210
41320122101201200
513114124402230
6532242522120
7101030010114
oct17032214140
95183242483
102020153440
119473621a8
12484666340
132626b2586
14152423744
15bc543eb0
hex78691860

2020153440 has 192 divisors, whose sum is σ = 6626672640. Its totient is φ = 516741120.

The previous prime is 2020153379. The next prime is 2020153463. The reversal of 2020153440 is 443510202.

It is a super-2 number, since 2×20201534402 = 8162039842287667200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889226 + ... + 1890294.

It is an arithmetic number, because the mean of its divisors is an integer number (34513920).

Almost surely, 22020153440 is an apocalyptic number.

2020153440 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 2020153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313336320).

2020153440 is an abundant number, since it is smaller than the sum of its proper divisors (4606519200).

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

2020153440 is a wasteful number, since it uses less digits than its factorization.

2020153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2020153440 is about 44946.1170736694. The cubic root of 2020153440 is about 1264.1388714056.

Adding to 2020153440 its reverse (443510202), we get a palindrome (2463663642).

The spelling of 2020153440 in words is "two billion, twenty million, one hundred fifty-three thousand, four hundred forty".