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118318720 = 2751314221
BaseRepresentation
bin1110000110101…
…10011010000000
322020122012202211
413003112122000
5220242144340
615423551504
72634456352
oct703263200
9266565684
10118318720
1160873673
123375b594
131b6888a0
14119dd0d2
15a5c25ea
hex70d6680

118318720 has 64 divisors (see below), whose sum is σ = 304635240. Its totient is φ = 43683840.

The previous prime is 118318687. The next prime is 118318727. The reversal of 118318720 is 27813811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 33825856 = 9192^2 + 5816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (118318727) 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 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 15430.

Almost surely, 2118318720 is an apocalyptic number.

118318720 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 118318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152317620).

118318720 is an abundant number, since it is smaller than the sum of its proper divisors (186316520).

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

118318720 is a wasteful number, since it uses less digits than its factorization.

118318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14241 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 118318720 is about 10877.4408755001. The cubic root of 118318720 is about 490.9280205528.

The spelling of 118318720 in words is "one hundred eighteen million, three hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 14221 28442 56884 71105 113768 142210 184873 227536 284420 369746 455072 568840 739492 910144 924365 1137680 1478984 1820288 1848730 2275360 2957968 3697460 4550720 5915936 7394920 9101440 11831872 14789840 23663744 29579680 59159360 118318720