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2055040120 = 235738319163
BaseRepresentation
bin111101001111101…
…0110110001111000
312022012220212002001
41322133112301320
513202042240440
6535530350344
7101632360420
oct17237266170
95265825061
102055040120
11965020071
1249428b3b4
132699a8893
14156d05480
15c0635b9a
hex7a7d6c78

2055040120 has 64 divisors (see below), whose sum is σ = 5298462720. Its totient is φ = 702708864.

The previous prime is 2055040093. The next prime is 2055040129. The reversal of 2055040120 is 210405502.

It is a super-2 number, since 2×20550401202 = 8446379789619228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055040129) 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 15 ways as a sum of consecutive naturals, for example, 97659 + ... + 116821.

It is an arithmetic number, because the mean of its divisors is an integer number (82788480).

Almost surely, 22055040120 is an apocalyptic number.

2055040120 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 2055040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649231360).

2055040120 is an abundant number, since it is smaller than the sum of its proper divisors (3243422600).

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

2055040120 is a wasteful number, since it uses less digits than its factorization.

2055040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19564 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2055040120 is about 45332.5503363753. The cubic root of 2055040120 is about 1271.3743198066.

Adding to 2055040120 its reverse (210405502), we get a palindrome (2265445622).

The spelling of 2055040120 in words is "two billion, fifty-five million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3830 5362 7660 10724 13405 15320 19163 21448 26810 38326 53620 76652 95815 107240 134141 153304 191630 268282 383260 536564 670705 766520 1073128 1341410 2682820 5365640 7339429 14678858 29357716 36697145 51376003 58715432 73394290 102752006 146788580 205504012 256880015 293577160 411008024 513760030 1027520060 2055040120