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112126920 = 23353532647
BaseRepresentation
bin1101010111011…
…10101111001000
321210222122012220
412223232233020
5212201030140
615043134040
72531030433
oct653565710
9253878186
10112126920
1158324684
1231674320
131a2cb4b9
1410c6a81a
159c9cbd0
hex6aeebc8

112126920 has 64 divisors (see below), whose sum is σ = 337461120. Its totient is φ = 29804544.

The previous prime is 112126919. The next prime is 112126939. The reversal of 112126920 is 29621211.

It is a Cunningham number, because it is equal to 105892-1.

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

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, 41037 + ... + 43683.

It is an arithmetic number, because the mean of its divisors is an integer number (5272830).

Almost surely, 2112126920 is an apocalyptic number.

112126920 is a gapful number since it is divisible by the number (10) 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 112126920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168730560).

112126920 is an abundant number, since it is smaller than the sum of its proper divisors (225334200).

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

112126920 is a wasteful number, since it uses less digits than its factorization.

112126920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 112126920 is about 10588.9999527812. Note that the first 4 decimals coincide. The cubic root of 112126920 is about 482.2104646092.

The spelling of 112126920 in words is "one hundred twelve million, one hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 706 1059 1412 1765 2118 2647 2824 3530 4236 5294 5295 7060 7941 8472 10588 10590 13235 14120 15882 21176 21180 26470 31764 39705 42360 52940 63528 79410 105880 158820 317640 934391 1868782 2803173 3737564 4671955 5606346 7475128 9343910 11212692 14015865 18687820 22425384 28031730 37375640 56063460 112126920