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112740096 = 283767313
BaseRepresentation
bin1101011100001…
…00011100000000
321212010210100010
412232010130000
5212330140341
615104224520
72536163220
oct656043400
9255123303
10112740096
1158703337
123190b140
131a484621
1410d8a080
159d6e716
hex6b84700

112740096 has 144 divisors (see below), whose sum is σ = 349147904. Its totient is φ = 31629312.

The previous prime is 112740049. The next prime is 112740097. The reversal of 112740096 is 690047211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112740097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360036 + ... + 360348.

Almost surely, 2112740096 is an apocalyptic number.

112740096 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 112740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174573952).

112740096 is an abundant number, since it is smaller than the sum of its proper divisors (236407808).

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

112740096 is an equidigital number, since it uses as much as digits as its factorization.

112740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 112740096 is about 10617.9139194100. The cubic root of 112740096 is about 483.0878707115.

The spelling of 112740096 in words is "one hundred twelve million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 313 336 384 402 448 469 536 626 672 768 804 896 938 939 1072 1252 1344 1407 1608 1792 1876 1878 2144 2191 2504 2688 2814 3216 3752 3756 4288 4382 5008 5376 5628 6432 6573 7504 7512 8576 8764 10016 11256 12864 13146 15008 15024 17152 17528 20032 20971 22512 25728 26292 30016 30048 35056 40064 41942 45024 51456 52584 60032 60096 62913 70112 80128 83884 90048 105168 120064 120192 125826 140224 146797 167768 180096 210336 240384 251652 280448 293594 335536 360192 420672 440391 503304 560896 587188 671072 841344 880782 1006608 1174376 1342144 1682688 1761564 2013216 2348752 2684288 3523128 4026432 4697504 5368576 7046256 8052864 9395008 14092512 16105728 18790016 28185024 37580032 56370048 112740096