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2080140440 = 235760712239
BaseRepresentation
bin111101111111100…
…0110110010011000
312100222011002020112
41323333012302120
513230003443230
6542224343452
7102355621250
oct17377066230
95328132215
102080140440
11978204334
124a0774b88
13271c56641
1415a39a960
15c2942d95
hex7bfc6c98

2080140440 has 64 divisors (see below), whose sum is σ = 5358182400. Its totient is φ = 711957888.

The previous prime is 2080140379. The next prime is 2080140457. The reversal of 2080140440 is 440410802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163841 + ... + 176079.

It is an arithmetic number, because the mean of its divisors is an integer number (83721600).

Almost surely, 22080140440 is an apocalyptic number.

2080140440 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 2080140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

2080140440 is an abundant number, since it is smaller than the sum of its proper divisors (3278041960).

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

2080140440 is a wasteful number, since it uses less digits than its factorization.

2080140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12860 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2080140440 is about 45608.5566533299. The cubic root of 2080140440 is about 1276.5295885775.

The spelling of 2080140440 in words is "two billion, eighty million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 607 1214 2428 3035 4249 4856 6070 8498 12140 12239 16996 21245 24280 24478 33992 42490 48956 61195 84980 85673 97912 122390 169960 171346 244780 342692 428365 489560 685384 856730 1713460 3426920 7429073 14858146 29716292 37145365 52003511 59432584 74290730 104007022 148581460 208014044 260017555 297162920 416028088 520035110 1040070220 2080140440