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2083680872 = 2371331127727
BaseRepresentation
bin111110000110010…
…0111001001101000
312101012210221210122
41330030213021220
513231410241442
6542432302412
7102430665230
oct17414471150
95335727718
102083680872
1197a202309
124a19a1a08
132728c5c80
1415aa3ccc0
15c2de1dd2
hex7c327268

2083680872 has 128 divisors (see below), whose sum is σ = 5009571840. Its totient is φ = 790352640.

The previous prime is 2083680857. The next prime is 2083680889. The reversal of 2083680872 is 2780863802.

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, 2865773 + ... + 2866499.

It is an arithmetic number, because the mean of its divisors is an integer number (39137280).

Almost surely, 22083680872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083680872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504785920).

2083680872 is an abundant number, since it is smaller than the sum of its proper divisors (2925890968).

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

2083680872 is a wasteful number, since it uses less digits than its factorization.

2083680872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2083680872 is about 45647.3533953503. The cubic root of 2083680872 is about 1277.2534026161.

The spelling of 2083680872 in words is "two billion, eighty-three million, six hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 127 182 217 248 254 364 403 434 508 727 728 806 868 889 1016 1454 1612 1651 1736 1778 2821 2908 3224 3302 3556 3937 5089 5642 5816 6604 7112 7874 9451 10178 11284 11557 13208 15748 18902 20356 22537 22568 23114 27559 31496 37804 40712 45074 46228 51181 55118 66157 75608 90148 92329 92456 102362 110236 132314 157759 180296 184658 204724 220472 264628 292981 315518 358267 369316 409448 529256 585962 631036 646303 716534 738632 1171924 1200277 1262072 1292606 1433068 2050867 2343848 2400554 2585212 2862199 2866136 4101734 4801108 5170424 5724398 8203468 8401939 9602216 11448796 16406936 16803878 20035393 22897592 33607756 37208587 40070786 67215512 74417174 80141572 148834348 160283144 260460109 297668696 520920218 1041840436 2083680872