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111917980 = 22519535557
BaseRepresentation
bin1101010101110…
…11101110011100
321210121000121101
412222323232130
5212122333410
615034442444
72526200326
oct652735634
9253530541
10111917980
11581a16a9
1231593424
131a257375
1410c14616
159c5ad3a
hex6abbb9c

111917980 has 48 divisors (see below), whose sum is σ = 252110880. Its totient is φ = 41603328.

The previous prime is 111917909. The next prime is 111917983. The reversal of 111917980 is 89719111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111917983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17362 + ... + 22918.

It is an arithmetic number, because the mean of its divisors is an integer number (5252310).

Almost surely, 2111917980 is an apocalyptic number.

111917980 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 111917980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126055440).

111917980 is an abundant number, since it is smaller than the sum of its proper divisors (140192900).

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

111917980 is a wasteful number, since it uses less digits than its factorization.

111917980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 37.

The square root of 111917980 is about 10579.1294537878. The cubic root of 111917980 is about 481.9107575117.

The spelling of 111917980 in words is "one hundred eleven million, nine hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 5557 10070 11114 20140 22228 27785 55570 105583 111140 211166 294521 422332 527915 589042 1055830 1178084 1472605 2111660 2945210 5595899 5890420 11191798 22383596 27979495 55958990 111917980