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2028731880 = 233575345569
BaseRepresentation
bin111100011101011…
…1111110111101000
312020101102020221210
41320322333313220
513123323410010
6533150433120
7101162636130
oct17072776750
95211366853
102028731880
1195119131a
124875027a0
132643c7086
14153617ac0
15bd18ab20
hex78ebfde8

2028731880 has 128 divisors (see below), whose sum is σ = 7087046400. Its totient is φ = 454950912.

The previous prime is 2028731879. The next prime is 2028731921. The reversal of 2028731880 is 881378202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21736 + ... + 67304.

It is an arithmetic number, because the mean of its divisors is an integer number (55367550).

Almost surely, 22028731880 is an apocalyptic number.

2028731880 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 2028731880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543523200).

2028731880 is an abundant number, since it is smaller than the sum of its proper divisors (5058314520).

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

2028731880 is a wasteful number, since it uses less digits than its factorization.

2028731880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45643 (or 45639 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2028731880 is about 45041.4462467625. The cubic root of 2028731880 is about 1265.9257036080.

The spelling of 2028731880 in words is "two billion, twenty-eight million, seven hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 45569 91138 136707 182276 227845 273414 318983 364552 455690 546828 637966 683535 911380 956949 1093656 1275932 1367070 1594915 1822760 1913898 2415157 2551864 2734140 3189830 3827796 4784745 4830314 5468280 6379660 7245471 7655592 9569490 9660628 12075785 12759320 14490942 16906099 19138980 19321256 24151570 28981884 33812198 36227355 38277960 48303140 50718297 57963768 67624396 72454710 84530495 96606280 101436594 135248792 144909420 169060990 202873188 253591485 289818840 338121980 405746376 507182970 676243960 1014365940 2028731880