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2041200320 = 26523463599
BaseRepresentation
bin111100110101010…
…0011111011000000
312021020212201102212
41321222203323000
513140021402240
6534314001252
7101403626225
oct17152437300
95236781385
102041200320
11958228015
1248b716228
13266b71353
1415514194c
15be300165
hex79aa3ec0

2041200320 has 112 divisors (see below), whose sum is σ = 5091379200. Its totient is φ = 777993216.

The previous prime is 2041200313. The next prime is 2041200407. The reversal of 2041200320 is 230021402.

2041200320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2041200295 and 2041200304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3407381 + ... + 3407979.

Almost surely, 22041200320 is an apocalyptic number.

2041200320 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 2041200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545689600).

2041200320 is an abundant number, since it is smaller than the sum of its proper divisors (3050178880).

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

2041200320 is a wasteful number, since it uses less digits than its factorization.

2041200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2041200320 is about 45179.6449742580. The cubic root of 2041200320 is about 1268.5138380602.

Adding to 2041200320 its reverse (230021402), we get a palindrome (2271221722).

The spelling of 2041200320 in words is "two billion, forty-one million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 463 599 736 920 926 1198 1472 1840 1852 2315 2396 2995 3680 3704 4630 4792 5990 7360 7408 9260 9584 10649 11980 13777 14816 18520 19168 21298 23960 27554 29632 37040 38336 42596 47920 53245 55108 68885 74080 85192 95840 106490 110216 137770 148160 170384 191680 212980 220432 275540 277337 340768 425960 440864 551080 554674 681536 851920 881728 1102160 1109348 1386685 1703840 2204320 2218696 2773370 3407680 4408640 4437392 5546740 6378751 8874784 11093480 12757502 17749568 22186960 25515004 31893755 44373920 51030008 63787510 88747840 102060016 127575020 204120032 255150040 408240064 510300080 1020600160 2041200320