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118182240 = 2534511829
BaseRepresentation
bin1110000101101…
…01000101100000
322020101021120000
413002311011200
5220223312430
615421020000
72633350431
oct702650540
9266337500
10118182240
1160790080
12336b4600
131b63b727
14119a5488
15a596e60
hex70b5160

118182240 has 240 divisors, whose sum is σ = 455550480. Its totient is φ = 28615680.

The previous prime is 118182217. The next prime is 118182241. The reversal of 118182240 is 42281811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118182241) 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 39 ways as a sum of consecutive naturals, for example, 142146 + ... + 142974.

It is an arithmetic number, because the mean of its divisors is an integer number (1898127).

Almost surely, 2118182240 is an apocalyptic number.

118182240 is a gapful number since it is divisible by the number (10) 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 118182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227775240).

118182240 is an abundant number, since it is smaller than the sum of its proper divisors (337368240).

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

118182240 is a wasteful number, since it uses less digits than its factorization.

118182240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 118182240 is about 10871.1655308895. The cubic root of 118182240 is about 490.7391869942.

The spelling of 118182240 in words is "one hundred eighteen million, one hundred eighty-two thousand, two hundred forty".