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118449216 = 263473313
BaseRepresentation
bin1110000111101…
…10010001000000
322020212211210000
413003312101000
5220310333331
615430440000
72635541664
oct703662100
9266784700
10118449216
1160952716
1233803000
131b7030c2
1411a348a4
15a5eb0e6
hex70f6440

118449216 has 140 divisors (see below), whose sum is σ = 357067612. Its totient is φ = 38817792.

The previous prime is 118449209. The next prime is 118449239. The reversal of 118449216 is 612944811.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 94478400 = 4896^2 + 9720^2 .

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 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 19 ways as a sum of consecutive naturals, for example, 378276 + ... + 378588.

Almost surely, 2118449216 is an apocalyptic number.

118449216 is a gapful number since it is divisible by the number (16) 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 118449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178533806).

118449216 is an abundant number, since it is smaller than the sum of its proper divisors (238618396).

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

118449216 is an equidigital number, since it uses as much as digits as its factorization.

118449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 118449216 is about 10883.4376922000. The cubic root of 118449216 is about 491.1084389033.

The spelling of 118449216 in words is "one hundred eighteen million, four hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 288 292 313 324 432 438 576 584 626 648 657 864 876 939 1168 1252 1296 1314 1728 1752 1878 1971 2336 2504 2592 2628 2817 3504 3756 3942 4672 5008 5184 5256 5634 5913 7008 7512 7884 8451 10016 10512 11268 11826 14016 15024 15768 16902 20032 21024 22536 22849 23652 25353 30048 31536 33804 42048 45072 45698 47304 50706 60096 63072 67608 68547 90144 91396 94608 101412 126144 135216 137094 180288 182792 189216 202824 205641 270432 274188 365584 378432 405648 411282 540864 548376 616923 731168 811296 822564 1096752 1233846 1462336 1622592 1645128 1850769 2193504 2467692 3290256 3701538 4387008 4935384 6580512 7403076 9870768 13161024 14806152 19741536 29612304 39483072 59224608 118449216