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116171328 = 26371361109
BaseRepresentation
bin1101110110010…
…10001001000000
322002121010002210
412323022021000
5214214440303
615305542120
72610303630
oct673121100
9262533083
10116171328
115a637269
1232aa4940
131b0b6340
14116006c0
15a2eb203
hex6eca240

116171328 has 224 divisors, whose sum is σ = 388030720. Its totient is φ = 29859840.

The previous prime is 116171299. The next prime is 116171329. The reversal of 116171328 is 823171611.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 116171295 and 116171304.

It is not an unprimeable number, because it can be changed into a prime (116171329) 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 31 ways as a sum of consecutive naturals, for example, 1065738 + ... + 1065846.

It is an arithmetic number, because the mean of its divisors is an integer number (1732280).

Almost surely, 2116171328 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 116171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194015360).

116171328 is an abundant number, since it is smaller than the sum of its proper divisors (271859392).

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

116171328 is a wasteful number, since it uses less digits than its factorization.

116171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 116171328 is about 10778.2803823244. The cubic root of 116171328 is about 487.9398833049.

The spelling of 116171328 in words is "one hundred sixteen million, one hundred seventy-one thousand, three hundred twenty-eight".