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216680646 = 237413289
BaseRepresentation
bin11001110101001…
…00100011000110
3120002201111222010
430322210203012
5420432240041
633300115050
75240520000
oct1472444306
9502644863
10216680646
11101346416
1260695a86
1335b77900
1420ac5370
1514051a16
hexcea48c6

216680646 has 120 divisors (see below), whose sum is σ = 553589640. Its totient is φ = 56504448.

The previous prime is 216680641. The next prime is 216680683. The reversal of 216680646 is 646086612.

216680646 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2434570 + ... + 2434658.

It is an arithmetic number, because the mean of its divisors is an integer number (4613247).

Almost surely, 2216680646 is an apocalyptic number.

216680646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216680646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276794820).

216680646 is an abundant number, since it is smaller than the sum of its proper divisors (336908994).

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

216680646 is an equidigital number, since it uses as much as digits as its factorization.

216680646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 216680646 is about 14720.0762905632. The cubic root of 216680646 is about 600.6295669558.

The spelling of 216680646 in words is "two hundred sixteen million, six hundred eighty thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 89 91 98 147 169 178 182 267 273 294 338 343 507 534 546 623 637 686 1014 1029 1157 1183 1246 1274 1869 1911 2058 2314 2366 2401 3471 3549 3738 3822 4361 4459 4802 6942 7098 7203 8099 8281 8722 8918 13083 13377 14406 15041 16198 16562 24297 24843 26166 26754 30082 30527 31213 45123 48594 49686 56693 57967 61054 62426 90246 91581 93639 105287 113386 115934 170079 173901 183162 187278 210574 213689 315861 340158 347802 396851 405769 427378 631722 641067 737009 793702 811538 1190553 1217307 1282134 1474018 2211027 2381106 2434614 2777957 4422054 5159063 5555914 8333871 10318126 15477189 16667742 30954378 36113441 72226882 108340323 216680646