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215928680 = 235112292143
BaseRepresentation
bin11001101111011…
…00111101101000
3120001022022110112
430313230331220
5420234204210
633232033452
75231235452
oct1467547550
9501268415
10215928680
11100982460
1260392888
1335973566
142096b2d2
1513e53d05
hexcdecf68

215928680 has 64 divisors (see below), whose sum is σ = 532569600. Its totient is φ = 78140160.

The previous prime is 215928653. The next prime is 215928683. The reversal of 215928680 is 86829512.

215928680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2159286803 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (215928683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99689 + ... + 101831.

It is an arithmetic number, because the mean of its divisors is an integer number (8321400).

Almost surely, 2215928680 is an apocalyptic number.

215928680 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 215928680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266284800).

215928680 is an abundant number, since it is smaller than the sum of its proper divisors (316640920).

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

215928680 is a wasteful number, since it uses less digits than its factorization.

215928680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 215928680 is about 14694.5119007063. The cubic root of 215928680 is about 599.9339556935.

The spelling of 215928680 in words is "two hundred fifteen million, nine hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1832 2143 2290 2519 4286 4580 5038 8572 9160 10076 10715 12595 17144 20152 21430 23573 25190 42860 47146 50380 85720 94292 100760 117865 188584 235730 471460 490747 942920 981494 1962988 2453735 3925976 4907470 5398217 9814940 10796434 19629880 21592868 26991085 43185736 53982170 107964340 215928680