Search a number
-
+
116888850 = 232521322953
BaseRepresentation
bin1101111011110…
…01010100010010
322010221120100200
412331321110102
5214410420400
615333200030
72616352551
oct675712422
9263846320
10116888850
115aa87361
1233190016
131b2a7b00
1411749d98
15a3ddb00
hex6f79512

116888850 has 216 divisors, whose sum is σ = 358420140. Its totient is φ = 27256320.

The previous prime is 116888843. The next prime is 116888851. The reversal of 116888850 is 58888611.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 18224361 + 98664489 = 4269^2 + 9933^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116888796 and 116888805.

It is not an unprimeable number, because it can be changed into a prime (116888851) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2205424 + ... + 2205476.

Almost surely, 2116888850 is an apocalyptic number.

116888850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116888850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179210070).

116888850 is an abundant number, since it is smaller than the sum of its proper divisors (241531290).

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

116888850 is a wasteful number, since it uses less digits than its factorization.

116888850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 116888850 is about 10811.5146949907. The cubic root of 116888850 is about 488.9423947599.

The spelling of 116888850 in words is "one hundred sixteen million, eight hundred eighty-eight thousand, eight hundred fifty".