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116388012 = 223133141587
BaseRepresentation
bin1101110111111…
…11000010101100
322010000010100010
412323333002230
5214243404022
615314333220
72612165436
oct673770254
9263003303
10116388012
115a775044
1232b8a210
131b160b60
1411659656
15a34050c
hex6eff0ac

116388012 has 96 divisors (see below), whose sum is σ = 309786624. Its totient is φ = 33753600.

The previous prime is 116388011. The next prime is 116388017. The reversal of 116388012 is 210883611.

It is not an unprimeable number, because it can be changed into a prime (116388011) 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 31 ways as a sum of consecutive naturals, for example, 197983 + ... + 198569.

It is an arithmetic number, because the mean of its divisors is an integer number (3226944).

Almost surely, 2116388012 is an apocalyptic number.

116388012 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 116388012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154893312).

116388012 is an abundant number, since it is smaller than the sum of its proper divisors (193398612).

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

116388012 is a wasteful number, since it uses less digits than its factorization.

116388012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 116388012 is about 10788.3275812333. The cubic root of 116388012 is about 488.2430651085.

The spelling of 116388012 in words is "one hundred sixteen million, three hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 41 52 62 78 82 93 123 124 156 164 186 246 372 403 492 533 587 806 1066 1174 1209 1271 1599 1612 1761 2132 2348 2418 2542 3198 3522 3813 4836 5084 6396 7044 7626 7631 15252 15262 16523 18197 22893 24067 30524 33046 36394 45786 48134 49569 54591 66092 72201 72788 91572 96268 99138 109182 144402 198276 218364 236561 288804 312871 473122 625742 709683 746077 938613 946244 1251484 1419366 1492154 1877226 2238231 2838732 2984308 3754452 4476462 8952924 9699001 19398002 29097003 38796004 58194006 116388012