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96123114 = 232371011429
BaseRepresentation
bin1011011101010…
…11100011101010
320200212120010100
411232223203222
5144101414424
613312130230
72245014213
oct556534352
9220776110
1096123114
114a29379a
1228236976
1316bb6ca9
14caa240a
15868adc9
hex5bab8ea

96123114 has 48 divisors (see below), whose sum is σ = 216164520. Its totient is φ = 30844800.

The previous prime is 96123101. The next prime is 96123121. The reversal of 96123114 is 41132169.

96123114 is a `hidden beast` number, since 9 + 612 + 31 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94420089 + 1703025 = 9717^2 + 1305^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66552 + ... + 67980.

Almost surely, 296123114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96123114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108082260).

96123114 is an abundant number, since it is smaller than the sum of its proper divisors (120041406).

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

96123114 is a wasteful number, since it uses less digits than its factorization.

96123114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1572 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 96123114 is about 9804.2395931556. The cubic root of 96123114 is about 458.0813500038.

The spelling of 96123114 in words is "ninety-six million, one hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1429 1818 2858 3737 4287 7474 8574 11211 12861 22422 25722 33633 52873 67266 105746 144329 158619 288658 317238 432987 475857 865974 951714 1298961 2597922 5340173 10680346 16020519 32041038 48061557 96123114