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118105328 = 24113531901
BaseRepresentation
bin1110000101000…
…10010011110000
322020020101001102
413002202103300
5220213332303
615415223532
72632610255
oct702422360
9266211042
10118105328
1160738310
1233677ba8
131b612713
141198542c
15a57e288
hex70a24f0

118105328 has 40 divisors (see below), whose sum is σ = 250470576. Its totient is φ = 53504000.

The previous prime is 118105303. The next prime is 118105331. The reversal of 118105328 is 823501811.

It is a self number, because there is not a number n which added to its sum of digits gives 118105328.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61178 + ... + 63078.

Almost surely, 2118105328 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 118105328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125235288).

118105328 is an abundant number, since it is smaller than the sum of its proper divisors (132365248).

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

118105328 is a wasteful number, since it uses less digits than its factorization.

118105328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 118105328 is about 10867.6275239815. The cubic root of 118105328 is about 490.6327075912.

The spelling of 118105328 in words is "one hundred eighteen million, one hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 353 706 1412 1901 2824 3802 3883 5648 7604 7766 15208 15532 20911 30416 31064 41822 62128 83644 167288 334576 671053 1342106 2684212 5368424 7381583 10736848 14763166 29526332 59052664 118105328