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108084312 = 233271911287
BaseRepresentation
bin1100111000100…
…11110001011000
321112101020210200
412130103301120
5210132144222
614420342200
72451462420
oct634236130
9245336720
10108084312
1156013386
1230244960
131951441b
14104d7480
15974eeac
hex6713c58

108084312 has 96 divisors (see below), whose sum is σ = 352185600. Its totient is φ = 29253312.

The previous prime is 108084307. The next prime is 108084329. The reversal of 108084312 is 213480801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3933 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (3668600).

Almost surely, 2108084312 is an apocalyptic number.

108084312 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 108084312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176092800).

108084312 is an abundant number, since it is smaller than the sum of its proper divisors (244101288).

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

108084312 is a wasteful number, since it uses less digits than its factorization.

108084312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108084312 is about 10396.3605170271. The cubic root of 108084312 is about 476.3442064657.

The spelling of 108084312 in words is "one hundred eight million, eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 11287 22574 33861 45148 67722 79009 90296 101583 135444 158018 203166 214453 237027 270888 316036 406332 428906 474054 632072 643359 711081 812664 857812 948108 1286718 1422162 1501171 1715624 1896216 1930077 2573436 2844324 3002342 3860154 4503513 5146872 5688648 6004684 7720308 9007026 12009368 13510539 15440616 18014052 27021078 36028104 54042156 108084312