Search a number
-
+
116221680 = 243251511069
BaseRepresentation
bin1101110110101…
…10011011110000
322002200200011200
412323112123300
5214223043210
615311011200
72610603501
oct673263360
9262620150
10116221680
115a671083
1232b09b00
131b103233
1411614ba8
15a30b0c0
hex6ed66f0

116221680 has 120 divisors (see below), whose sum is σ = 393263520. Its totient is φ = 30758400.

The previous prime is 116221669. The next prime is 116221687. The reversal of 116221680 is 86122611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116221687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108186 + ... + 109254.

It is an arithmetic number, because the mean of its divisors is an integer number (3277196).

Almost surely, 2116221680 is an apocalyptic number.

116221680 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 116221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196631760).

116221680 is an abundant number, since it is smaller than the sum of its proper divisors (277041840).

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

116221680 is a wasteful number, since it uses less digits than its factorization.

116221680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116221680 is about 10780.6159378766. The cubic root of 116221680 is about 488.0103688561.

The spelling of 116221680 in words is "one hundred sixteen million, two hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1069 1208 1359 1510 1812 2138 2265 2416 2718 3020 3207 3624 4276 4530 5345 5436 6040 6414 6795 7248 8552 9060 9621 10690 10872 12080 12828 13590 16035 17104 18120 19242 21380 21744 25656 27180 32070 36240 38484 42760 48105 51312 54360 64140 76968 85520 96210 108720 128280 153936 161419 192420 256560 322838 384840 484257 645676 769680 807095 968514 1291352 1452771 1614190 1937028 2421285 2582704 2905542 3228380 3874056 4842570 5811084 6456760 7263855 7748112 9685140 11622168 12913520 14527710 19370280 23244336 29055420 38740560 58110840 116221680