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116176896 = 2113311191
BaseRepresentation
bin1101110110010…
…11100000000000
322002121101202000
412323023200000
5214220130041
615310024000
72610326103
oct673134000
9262541660
10116176896
115a640470
1232aa8000
131b0b8a34
141160273a
15a2ecbb6
hex6ecb800

116176896 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 35020800.

The previous prime is 116176891. The next prime is 116176897. The reversal of 116176896 is 698671611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116176891) 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 15 ways as a sum of consecutive naturals, for example, 608161 + ... + 608351.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2116176896 is an apocalyptic number.

116176896 is a gapful number since it is divisible by the number (16) 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 116176896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

116176896 is an abundant number, since it is smaller than the sum of its proper divisors (261218304).

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

116176896 is a wasteful number, since it uses less digits than its factorization.

116176896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 116176896 is about 10778.5386764626. The cubic root of 116176896 is about 487.9476787048.

The spelling of 116176896 in words is "one hundred sixteen million, one hundred seventy-six thousand, eight hundred ninety-six".