Search a number
-
+
1080800028 = 22327111920521
BaseRepresentation
bin100000001101011…
…1011001100011100
32210022201022220200
41000122323030130
54203141100103
6255125143500
735532435330
oct10032731434
92708638820
101080800028
115050a1070
12261b5ab90
13142bba759
14a37817c0
1564d420a3
hex406bb31c

1080800028 has 144 divisors (see below), whose sum is σ = 3585603840. Its totient is φ = 265939200.

The previous prime is 1080800011. The next prime is 1080800033. The reversal of 1080800028 is 8200080801.

It is a junction number, because it is equal to n+sod(n) for n = 1080799974 and 1080800010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42408 + ... + 62928.

Almost surely, 21080800028 is an apocalyptic number.

1080800028 is a gapful number since it is divisible by the number (18) 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 1080800028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792801920).

1080800028 is an abundant number, since it is smaller than the sum of its proper divisors (2504803812).

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

1080800028 is a wasteful number, since it uses less digits than its factorization.

1080800028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20568 (or 20563 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1080800028 is about 32875.5232353798. The cubic root of 1080800028 is about 1026.2388441132.

Adding to 1080800028 its reverse (8200080801), we get a palindrome (9280880829).

It can be divided in two parts, 1080 and 800028, that added together give a palindrome (801108).

The spelling of 1080800028 in words is "one billion, eighty million, eight hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 20521 26334 41042 52668 61563 82084 123126 143647 184689 225731 246252 287294 369378 389899 430941 451462 574588 677193 738756 779798 861882 902924 1169697 1292823 1354386 1559596 1580117 1723764 2031579 2339394 2585646 2708772 2729293 3160234 3509091 4063158 4288889 4678788 4740351 5171292 5458586 6320468 7018182 8126316 8187879 8577778 9480702 10917172 12866667 14036364 14221053 16375758 17155556 18961404 24563637 25733334 28442106 30022223 32751516 38600001 49127274 51466668 56884212 60044446 77200002 90066669 98254548 120088892 154400004 180133338 270200007 360266676 540400014 1080800028