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116255712 = 2535373313
BaseRepresentation
bin1101110110111…
…10101111100000
322002202101212010
412323132233200
5214230140322
615311432520
72611104636
oct673365740
9262671763
10116255712
115a694701
1232b25740
131b115881
1411623356
15a31620c
hex6edebe0

116255712 has 96 divisors (see below), whose sum is σ = 316195488. Its totient is φ = 37380096.

The previous prime is 116255701. The next prime is 116255719. The reversal of 116255712 is 217552611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116255712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116255719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371268 + ... + 371580.

It is an arithmetic number, because the mean of its divisors is an integer number (3293703).

Almost surely, 2116255712 is an apocalyptic number.

116255712 is a gapful number since it is divisible by the number (12) 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 116255712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158097744).

116255712 is an abundant number, since it is smaller than the sum of its proper divisors (199939776).

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

116255712 is a wasteful number, since it uses less digits than its factorization.

116255712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 116255712 is about 10782.1942108274. The cubic root of 116255712 is about 488.0579972277.

The spelling of 116255712 in words is "one hundred sixteen million, two hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 73 96 106 146 159 212 219 292 313 318 424 438 584 626 636 848 876 939 1168 1252 1272 1696 1752 1878 2336 2504 2544 3504 3756 3869 5008 5088 7008 7512 7738 10016 11607 15024 15476 16589 22849 23214 30048 30952 33178 45698 46428 49767 61904 66356 68547 91396 92856 99534 123808 132712 137094 182792 185712 199068 265424 274188 365584 371424 398136 530848 548376 731168 796272 1096752 1210997 1592544 2193504 2421994 3632991 4843988 7265982 9687976 14531964 19375952 29063928 38751904 58127856 116255712