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7686780420 = 22351173315889
BaseRepresentation
bin1110010100010101…
…01111011000000100
3201211201000220102010
413022022233120010
5111220303433140
63310430214220
7361325361354
oct71212573004
921751026363
107686780420
113294a949a0
1215a6354370
139566971a7
1452cc52b64
152eec79880
hex1ca2af604

7686780420 has 96 divisors (see below), whose sum is σ = 23513132160. Its totient is φ = 1860802560.

The previous prime is 7686780371. The next prime is 7686780427. The reversal of 7686780420 is 240876867.

It is a self number, because there is not a number n which added to its sum of digits gives 7686780420.

It is not an unprimeable number, because it can be changed into a prime (7686780427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475836 + ... + 491724.

It is an arithmetic number, because the mean of its divisors is an integer number (244928460).

Almost surely, 27686780420 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 7686780420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11756566080).

7686780420 is an abundant number, since it is smaller than the sum of its proper divisors (15826351740).

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

7686780420 is a wasteful number, since it uses less digits than its factorization.

7686780420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16645 (or 16643 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 7686780420 is about 87674.2859680077. The cubic root of 7686780420 is about 1973.5501120684.

The spelling of 7686780420 in words is "seven billion, six hundred eighty-six million, seven hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 733 1466 2199 2932 3665 4398 7330 8063 8796 10995 14660 15889 16126 21990 24189 31778 32252 40315 43980 47667 48378 63556 79445 80630 95334 96756 120945 158890 161260 174779 190668 238335 241890 317780 349558 476670 483780 524337 699116 873895 953340 1048674 1747790 2097348 2621685 3495580 5243370 10486740 11646637 23293274 34939911 46586548 58233185 69879822 116466370 128113007 139759644 174699555 232932740 256226014 349399110 384339021 512452028 640565035 698798220 768678042 1281130070 1537356084 1921695105 2562260140 3843390210 7686780420