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111192940 = 22519535521
BaseRepresentation
bin1101010000010…
…10101101101100
321202020012001001
412220022231230
5211431133230
615011130044
72520060445
oct650125554
9252205031
10111192940
11578469a1
12312a3924
131a062351
1410aa62cc
159b660ca
hex6a0ab6c

111192940 has 48 divisors (see below), whose sum is σ = 250477920. Its totient is φ = 41333760.

The previous prime is 111192923. The next prime is 111192947. The reversal of 111192940 is 49291111.

It is a junction number, because it is equal to n+sod(n) for n = 111192899 and 111192908.

It is not an unprimeable number, because it can be changed into a prime (111192947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17380 + ... + 22900.

It is an arithmetic number, because the mean of its divisors is an integer number (5218290).

Almost surely, 2111192940 is an apocalyptic number.

111192940 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 111192940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125238960).

111192940 is an abundant number, since it is smaller than the sum of its proper divisors (139284980).

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

111192940 is a wasteful number, since it uses less digits than its factorization.

111192940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 111192940 is about 10544.8063045274. The cubic root of 111192940 is about 480.8678454891.

The spelling of 111192940 in words is "one hundred eleven million, one hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 5521 10070 11042 20140 22084 27605 55210 104899 110420 209798 292613 419596 524495 585226 1048990 1170452 1463065 2097980 2926130 5559647 5852260 11119294 22238588 27798235 55596470 111192940