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118914048 = 21033111723
BaseRepresentation
bin1110001011001…
…11110000000000
322021202110102000
413011213300000
5220420222143
615444424000
72642516121
oct705476000
9267673360
10118914048
116113a980
12339a8000
131b836856
1411b16048
15a68dbd3
hex7167c00

118914048 has 352 divisors, whose sum is σ = 424465920. Its totient is φ = 32440320.

The previous prime is 118914043. The next prime is 118914073. The reversal of 118914048 is 840419811.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118914043) 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, 5170165 + ... + 5170187.

Almost surely, 2118914048 is an apocalyptic number.

118914048 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 118914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212232960).

118914048 is an abundant number, since it is smaller than the sum of its proper divisors (305551872).

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

118914048 is a wasteful number, since it uses less digits than its factorization.

118914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 118914048 is about 10904.7717995380. The cubic root of 118914048 is about 491.7500217321.

The spelling of 118914048 in words is "one hundred eighteen million, nine hundred fourteen thousand, forty-eight".