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2040112020 = 2235734391061
BaseRepresentation
bin111100110011001…
…1010001110010100
312021011211102120110
41321212122032110
513134232041040
6534234403020
7101361444312
oct17146321624
95234742513
102040112020
119576543a1
1248b290470
1326687cb9b
14154d3b0b2
15be187980
hex7999a394

2040112020 has 96 divisors (see below), whose sum is σ = 5809224960. Its totient is φ = 534850560.

The previous prime is 2040112007. The next prime is 2040112021. The reversal of 2040112020 is 202110402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2040111987 and 2040112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922290 + ... + 1923350.

It is an arithmetic number, because the mean of its divisors is an integer number (60512760).

Almost surely, 22040112020 is an apocalyptic number.

2040112020 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 2040112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904612480).

2040112020 is an abundant number, since it is smaller than the sum of its proper divisors (3769112940).

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

2040112020 is a wasteful number, since it uses less digits than its factorization.

2040112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2040112020 is about 45167.5992277650. The cubic root of 2040112020 is about 1268.2883548778.

Adding to 2040112020 its reverse (202110402), we get a palindrome (2242222422).

The spelling of 2040112020 in words is "two billion, forty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 439 730 876 878 1061 1095 1317 1460 1756 2122 2190 2195 2634 3183 4244 4380 4390 5268 5305 6366 6585 8780 10610 12732 13170 15915 21220 26340 31830 32047 63660 64094 77453 96141 128188 154906 160235 192282 232359 309812 320470 384564 387265 464718 465779 480705 640940 774530 929436 931558 961410 1161795 1397337 1549060 1863116 1922820 2323590 2328895 2794674 4647180 4657790 5589348 6986685 9315580 13973370 27946740 34001867 68003734 102005601 136007468 170009335 204011202 340018670 408022404 510028005 680037340 1020056010 2040112020