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2139820680 = 2335296071013
BaseRepresentation
bin111111110001011…
…0001001010001000
312112010110011010210
41333202301022020
513340243230210
6552155441120
7104012114154
oct17742611210
95463404123
102139820680
119a8966a48
124b87561a0
13281420baa
14164294064
15c7cd0e20
hex7f8b1288

2139820680 has 128 divisors (see below), whose sum is σ = 6658329600. Its totient is φ = 549491712.

The previous prime is 2139820633. The next prime is 2139820723. The reversal of 2139820680 is 860289312.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 2111854 + ... + 2112866.

It is an arithmetic number, because the mean of its divisors is an integer number (52018200).

Almost surely, 22139820680 is an apocalyptic number.

2139820680 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 2139820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329164800).

2139820680 is an abundant number, since it is smaller than the sum of its proper divisors (4518508920).

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

2139820680 is a wasteful number, since it uses less digits than its factorization.

2139820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2139820680 is about 46258.1958143635. The cubic root of 2139820680 is about 1288.6227474112.

The spelling of 2139820680 in words is "two billion, one hundred thirty-nine million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 607 696 870 1013 1160 1214 1740 1821 2026 2428 3035 3039 3480 3642 4052 4856 5065 6070 6078 7284 8104 9105 10130 12140 12156 14568 15195 17603 18210 20260 24280 24312 29377 30390 35206 36420 40520 52809 58754 60780 70412 72840 88015 88131 105618 117508 121560 140824 146885 176030 176262 211236 235016 264045 293770 352060 352524 422472 440655 528090 587540 614891 704120 705048 881310 1056180 1175080 1229782 1762620 1844673 2112360 2459564 3074455 3525240 3689346 4919128 6148910 7378692 9223365 12297820 14757384 17831839 18446730 24595640 35663678 36893460 53495517 71327356 73786920 89159195 106991034 142654712 178318390 213982068 267477585 356636780 427964136 534955170 713273560 1069910340 2139820680