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2050404120 = 233255779871
BaseRepresentation
bin111101000110110…
…1010111100011000
312021220012022200100
41322031222330120
513144400412440
6535243135400
7101545101402
oct17215527430
95256168610
102050404120
11962443a66
12492814560
13268a4469b
14156459b72
15c001c230
hex7a36af18

2050404120 has 96 divisors (see below), whose sum is σ = 6676038720. Its totient is φ = 545771520.

The previous prime is 2050404091. The next prime is 2050404179. The reversal of 2050404120 is 214040502.

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 = 2050404093 and 2050404102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202785 + ... + 212655.

It is an arithmetic number, because the mean of its divisors is an integer number (69542070).

Almost surely, 22050404120 is an apocalyptic number.

2050404120 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 2050404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338019360).

2050404120 is an abundant number, since it is smaller than the sum of its proper divisors (4625634600).

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

2050404120 is a wasteful number, since it uses less digits than its factorization.

2050404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2050404120 is about 45281.3882296027. The cubic root of 2050404120 is about 1270.4175616641.

Adding to 2050404120 its reverse (214040502), we get a palindrome (2264444622).

The spelling of 2050404120 in words is "two billion, fifty million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 577 1154 1731 2308 2885 3462 4616 5193 5770 6924 8655 9871 10386 11540 13848 17310 19742 20772 23080 25965 29613 34620 39484 41544 49355 51930 59226 69240 78968 88839 98710 103860 118452 148065 177678 197420 207720 236904 296130 355356 394840 444195 592260 710712 888390 1184520 1776780 3553560 5695567 11391134 17086701 22782268 28477835 34173402 45564536 51260103 56955670 68346804 85433505 102520206 113911340 136693608 170867010 205040412 227822680 256300515 341734020 410080824 512601030 683468040 1025202060 2050404120