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112678830 = 23351123449
BaseRepresentation
bin1101011011101…
…01011110101110
321212000200022000
412231311132232
5212321210310
615103033130
72535516465
oct655653656
9255020260
10112678830
1158671300
123189b7a6
131a462784
1410d719dc
159d5b4c0
hex6b757ae

112678830 has 96 divisors (see below), whose sum is σ = 330372000. Its totient is φ = 27308160.

The previous prime is 112678829. The next prime is 112678837. The reversal of 112678830 is 38876211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112678837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30946 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (3441375).

Almost surely, 2112678830 is an apocalyptic number.

112678830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112678830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165186000).

112678830 is an abundant number, since it is smaller than the sum of its proper divisors (217693170).

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

112678830 is a wasteful number, since it uses less digits than its factorization.

112678830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 112678830 is about 10615.0284973711. The cubic root of 112678830 is about 483.0003472086. Note that the first 3 decimals are identical.

The spelling of 112678830 in words is "one hundred twelve million, six hundred seventy-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1485 1815 2178 2970 3267 3449 3630 5445 6534 6898 10347 10890 16335 17245 20694 31041 32670 34490 37939 51735 62082 75878 93123 103470 113817 155205 186246 189695 227634 310410 341451 379390 417329 465615 569085 682902 834658 931230 1024353 1138170 1251987 1707255 2048706 2086645 2503974 3414510 3755961 4173290 5121765 6259935 7511922 10243530 11267883 12519870 18779805 22535766 37559610 56339415 112678830