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96131112 = 23371124729
BaseRepresentation
bin1011011101011…
…01100000101000
320200212222002120
411232231200220
5144102143422
613312231240
72245046430
oct556554050
9220788076
1096131112
114a299800
122823b520
1316bba81c
14caa52c0
15868d45c
hex5bad828

96131112 has 96 divisors (see below), whose sum is σ = 301963200. Its totient is φ = 24963840.

The previous prime is 96131081. The next prime is 96131117. The reversal of 96131112 is 21113169.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (96131117) by changing a digit.

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, 17964 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (3145450).

Almost surely, 296131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150981600).

96131112 is an abundant number, since it is smaller than the sum of its proper divisors (205832088).

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

96131112 is a wasteful number, since it uses less digits than its factorization.

96131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4752 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 96131112 is about 9804.6474694402. The cubic root of 96131112 is about 458.0940546589.

The spelling of 96131112 in words is "ninety-six million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 4729 5082 6776 9458 10164 14187 18916 20328 28374 33103 37832 52019 56748 66206 99309 104038 113496 132412 156057 198618 208076 264824 312114 364133 397236 416152 572209 624228 728266 794472 1092399 1144418 1248456 1456532 1716627 2184798 2288836 2913064 3433254 4005463 4369596 4577672 6866508 8010926 8739192 12016389 13733016 16021852 24032778 32043704 48065556 96131112