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18111420 = 22325239421
BaseRepresentation
bin100010100010…
…1101110111100
31021002011012100
41011011232330
514114031140
61444105100
7306641655
oct105055674
937064170
1018111420
11a250418
126095190
1339a1922
14259652c
1518cb530
hex1145bbc

18111420 has 72 divisors (see below), whose sum is σ = 55298880. Its totient is φ = 4798080.

The previous prime is 18111361. The next prime is 18111437. The reversal of 18111420 is 2411181.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 18111393 and 18111402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42810 + ... + 43230.

It is an arithmetic number, because the mean of its divisors is an integer number (768040).

Almost surely, 218111420 is an apocalyptic number.

18111420 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 18111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27649440).

18111420 is an abundant number, since it is smaller than the sum of its proper divisors (37187460).

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

18111420 is a wasteful number, since it uses less digits than its factorization.

18111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 18111420 is about 4255.7514025140. The cubic root of 18111420 is about 262.6137738098.

The spelling of 18111420 in words is "eighteen million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 421 478 717 842 956 1195 1263 1434 1684 2105 2151 2390 2526 2868 3585 3789 4210 4302 4780 5052 6315 7170 7578 8420 8604 10755 12630 14340 15156 18945 21510 25260 37890 43020 75780 100619 201238 301857 402476 503095 603714 905571 1006190 1207428 1509285 1811142 2012380 3018570 3622284 4527855 6037140 9055710 18111420