Search a number
-
+
196666680 = 23357257911
BaseRepresentation
bin10111011100011…
…10010100111000
3111201001200222010
423232032110320
5400321313210
631303125520
74605432150
oct1356162470
9451050863
10196666680
11a1016651
1255a438a0
133198b022
141c195760
15123eb920
hexbb8e538

196666680 has 128 divisors (see below), whose sum is σ = 677652480. Its totient is φ = 44728320.

The previous prime is 196666637. The next prime is 196666681. The reversal of 196666680 is 86666691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196666681) 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, 215425 + ... + 216335.

It is an arithmetic number, because the mean of its divisors is an integer number (5294160).

Almost surely, 2196666680 is an apocalyptic number.

196666680 is a gapful number since it is divisible by the number (10) 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 196666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338826240).

196666680 is an abundant number, since it is smaller than the sum of its proper divisors (480985800).

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

196666680 is a wasteful number, since it uses less digits than its factorization.

196666680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 196666680 is about 14023.7897873578. The cubic root of 196666680 is about 581.5364336895.

The spelling of 196666680 in words is "one hundred ninety-six million, six hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 257 280 420 514 771 840 911 1028 1285 1542 1799 1822 2056 2570 2733 3084 3598 3644 3855 4555 5140 5397 5466 6168 6377 7196 7288 7710 8995 9110 10280 10794 10932 12754 13665 14392 15420 17990 18220 19131 21588 21864 25508 26985 27330 30840 31885 35980 36440 38262 43176 51016 53970 54660 63770 71960 76524 95655 107940 109320 127540 153048 191310 215880 234127 255080 382620 468254 702381 765240 936508 1170635 1404762 1638889 1873016 2341270 2809524 3277778 3511905 4682540 4916667 5619048 6555556 7023810 8194445 9365080 9833334 13111112 14047620 16388890 19666668 24583335 28095240 32777780 39333336 49166670 65555560 98333340 196666680