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112248096 = 25323291753
BaseRepresentation
bin1101011000011…
…00010100100000
321211012210102220
412230030110200
5212213414341
615045511040
72532043632
oct654142440
9254183386
10112248096
11583a7724
1231712480
131a3416bc
1410c9ca52
159cc3a66
hex6b0c520

112248096 has 96 divisors (see below), whose sum is σ = 318245760. Its totient is φ = 34535424.

The previous prime is 112248083. The next prime is 112248133. The reversal of 112248096 is 690842211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63156 + ... + 64908.

It is an arithmetic number, because the mean of its divisors is an integer number (3315060).

Almost surely, 2112248096 is an apocalyptic number.

112248096 is a gapful number since it is divisible by the number (16) 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 112248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159122880).

112248096 is an abundant number, since it is smaller than the sum of its proper divisors (205997664).

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

112248096 is a wasteful number, since it uses less digits than its factorization.

112248096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 112248096 is about 10594.7201945120. The cubic root of 112248096 is about 482.3841109811.

The spelling of 112248096 in words is "one hundred twelve million, two hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1753 2001 2208 2668 2784 3506 4002 5259 5336 7012 8004 10518 10672 14024 16008 21036 21344 28048 32016 40319 42072 50837 56096 64032 80638 84144 101674 120957 152511 161276 168288 203348 241914 305022 322552 406696 483828 610044 645104 813392 967656 1169251 1220088 1290208 1626784 1935312 2338502 2440176 3507753 3870624 4677004 4880352 7015506 9354008 14031012 18708016 28062024 37416032 56124048 112248096