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2804153380 = 2257219732063
BaseRepresentation
bin1010011100100011…
…1111110000100100
321020102111202021121
42213020333300210
521220330402010
61142130423324
7126326624200
oct24710776044
97212452247
102804153380
111209964a36
12663131b44
13358c52872
141c85c5b00
151162aa3da
hexa723fc24

2804153380 has 144 divisors (see below), whose sum is σ = 7312999680. Its totient is φ = 897910272.

The previous prime is 2804153351. The next prime is 2804153389. The reversal of 2804153380 is 833514082.

It is a happy number.

2804153380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2804153389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358229 + ... + 1360291.

It is an arithmetic number, because the mean of its divisors is an integer number (50784720).

Almost surely, 22804153380 is an apocalyptic number.

2804153380 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 2804153380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656499840).

2804153380 is an abundant number, since it is smaller than the sum of its proper divisors (4508846300).

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

2804153380 is a wasteful number, since it uses less digits than its factorization.

2804153380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2804153380 is about 52954.2574303521. The cubic root of 2804153380 is about 1410.1563094824.

The spelling of 2804153380 in words is "two billion, eight hundred four million, one hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 73 76 95 98 133 140 146 190 196 245 266 292 365 380 490 511 532 665 730 931 980 1022 1330 1387 1460 1862 2044 2063 2555 2660 2774 3577 3724 4126 4655 5110 5548 6935 7154 8252 9310 9709 10220 10315 13870 14308 14441 17885 18620 19418 20630 27740 28882 35770 38836 39197 41260 48545 57764 67963 71540 72205 78394 97090 101087 135926 144410 150599 156788 194180 195985 202174 271852 274379 288820 301198 339815 391970 404348 505435 548758 602396 679630 752995 783940 1010870 1054193 1097516 1359260 1371895 1505990 1920653 2021740 2108386 2743790 2861381 3011980 3841306 4216772 5270965 5487580 5722762 7379351 7682612 9603265 10541930 11445524 14306905 14758702 19206530 20029667 21083860 28613810 29517404 36896755 38413060 40059334 57227620 73793510 80118668 100148335 140207669 147587020 200296670 280415338 400593340 560830676 701038345 1402076690 2804153380