Search a number
-
+
116866368 = 263367631
BaseRepresentation
bin1101111011100…
…11110101000000
322010220102112000
412331303311000
5214404210433
615332504000
72616230163
oct675636500
9263812460
10116866368
115aa71483
123317b000
131b29a7c8
1411741ada
15a3d7113
hex6f73d40

116866368 has 56 divisors (see below), whose sum is σ = 343570560. Its totient is φ = 38954880.

The previous prime is 116866367. The next prime is 116866369. The reversal of 116866368 is 863668611.

116866368 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 6 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (116866367) and next prime (116866369).

It is a super-2 number, since 2×1168663682 = 27315495939022848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116866361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32088 + ... + 35543.

Almost surely, 2116866368 is an apocalyptic number.

116866368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116866368 is an abundant number, since it is smaller than the sum of its proper divisors (226704192).

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

116866368 is an equidigital number, since it uses as much as digits as its factorization.

116866368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67652 (or 67636 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 116866368 is about 10810.4749201874. The cubic root of 116866368 is about 488.9110455829.

The spelling of 116866368 in words is "one hundred sixteen million, eight hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 67631 135262 202893 270524 405786 541048 608679 811572 1082096 1217358 1623144 1826037 2164192 2434716 3246288 3652074 4328384 4869432 6492576 7304148 9738864 12985152 14608296 19477728 29216592 38955456 58433184 116866368