Search a number
-
+
116683008 = 2831322931
BaseRepresentation
bin1101111010001…
…11000100000000
322010120002222220
412331013010000
5214332324013
615324531040
72614534461
oct675070400
9263502886
10116683008
115a956742
12330b0a80
131b235200
14116d4d68
15a39cb23
hex6f47100

116683008 has 216 divisors, whose sum is σ = 359089920. Its totient is φ = 33546240.

The previous prime is 116683001. The next prime is 116683013. The reversal of 116683008 is 800386611.

It is a super-2 number, since 2×1166830082 = 27229848711856128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116683008.

It is not an unprimeable number, because it can be changed into a prime (116683001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3763953 + ... + 3763983.

Almost surely, 2116683008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179544960).

116683008 is an abundant number, since it is smaller than the sum of its proper divisors (242406912).

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

116683008 is a wasteful number, since it uses less digits than its factorization.

116683008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 116683008 is about 10801.9909276022. The cubic root of 116683008 is about 488.6552159085.

The spelling of 116683008 in words is "one hundred sixteen million, six hundred eighty-three thousand, eight".