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118823328 = 25331371149
BaseRepresentation
bin1110001010100…
…01100110100000
322021120211222000
413011101212200
5220404321303
615442444000
72641660461
oct705214640
9267524860
10118823328
11610887a8
1233963600
131b804480
1411ad0d68
15a671da3
hex71519a0

118823328 has 192 divisors, whose sum is σ = 381024000. Its totient is φ = 35804160.

The previous prime is 118823323. The next prime is 118823333. The reversal of 118823328 is 823328811.

It is an interprime number because it is at equal distance from previous prime (118823323) and next prime (118823333).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 118823292 and 118823301.

It is not an unprimeable number, because it can be changed into a prime (118823323) 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, 797398 + ... + 797546.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2118823328 is an apocalyptic number.

118823328 is a gapful number since it is divisible by the number (18) 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 118823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

118823328 is an abundant number, since it is smaller than the sum of its proper divisors (262200672).

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

118823328 is a wasteful number, since it uses less digits than its factorization.

118823328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 118823328 is about 10900.6113590018. The cubic root of 118823328 is about 491.6249372353.

The spelling of 118823328 in words is "one hundred eighteen million, eight hundred twenty-three thousand, three hundred twenty-eight".