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2104044320 = 255745477
BaseRepresentation
bin111110101101001…
…0010101100100000
312102122010112012102
41331122102230200
513302113404240
6544440545532
7103066040000
oct17532225440
95378115172
102104044320
1198a750704
124a87822a8
13276ba5951
1415d620000
15c4ab5815
hex7d692b20

2104044320 has 120 divisors (see below), whose sum is σ = 5799985884. Its totient is φ = 721254912.

The previous prime is 2104044311. The next prime is 2104044323. The reversal of 2104044320 is 234404012.

It can be written as a sum of positive squares in 2 ways, for example, as 1910389264 + 193655056 = 43708^2 + 13916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2104044292 and 2104044301.

It is not an unprimeable number, because it can be changed into a prime (2104044323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 381422 + ... + 386898.

Almost surely, 22104044320 is an apocalyptic number.

2104044320 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 2104044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899992942).

2104044320 is an abundant number, since it is smaller than the sum of its proper divisors (3695941564).

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

2104044320 is an frugal number, since it uses more digits than its factorization.

2104044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2104044320 is about 45869.8628731327. The cubic root of 2104044320 is about 1281.4007127251.

Adding to 2104044320 its reverse (234404012), we get a palindrome (2338448332).

The spelling of 2104044320 in words is "two billion, one hundred four million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2401 2744 3430 3920 4802 5477 5488 6860 7840 9604 10954 10976 12005 13720 19208 21908 24010 27385 27440 38339 38416 43816 48020 54770 54880 76678 76832 87632 96040 109540 153356 175264 191695 192080 219080 268373 306712 383390 384160 438160 536746 613424 766780 876320 1073492 1226848 1341865 1533560 1878611 2146984 2683730 3067120 3757222 4293968 5367460 6134240 7514444 8587936 9393055 10734920 13150277 15028888 18786110 21469840 26300554 30057776 37572220 42939680 52601108 60115552 65751385 75144440 105202216 131502770 150288880 210404432 263005540 300577760 420808864 526011080 1052022160 2104044320