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111442716 = 22357111489
BaseRepresentation
bin1101010010001…
…11101100011100
321202200212200000
412221013230130
5212012131331
615020334300
72522150610
oct651075434
9252625600
10111442716
11579a7620
12313a4390
131a11bc48
1410b2d340
159bb50e6
hex6a47b1c

111442716 has 144 divisors (see below), whose sum is σ = 364465920. Its totient is φ = 28926720.

The previous prime is 111442691. The next prime is 111442717. The reversal of 111442716 is 617244111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111442716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111442717) 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, 74100 + ... + 75588.

Almost surely, 2111442716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111442716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182232960).

111442716 is an abundant number, since it is smaller than the sum of its proper divisors (253023204).

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

111442716 is a wasteful number, since it uses less digits than its factorization.

111442716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1512 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 111442716 is about 10556.6432164775. The cubic root of 111442716 is about 481.2276387878.

Adding to 111442716 its reverse (617244111), we get a palindrome (728686827).

The spelling of 111442716 in words is "one hundred eleven million, four hundred forty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1489 1701 1782 2079 2268 2673 2772 2978 3402 3564 4158 4467 5346 5956 6237 6804 8316 8934 10423 10692 12474 13401 16379 17868 18711 20846 24948 26802 31269 32758 37422 40203 41692 49137 53604 62538 65516 74844 80406 93807 98274 114653 120609 125076 147411 160812 187614 196548 229306 241218 281421 294822 343959 361827 375228 442233 458612 482436 562842 589644 687918 723654 844263 884466 1031877 1125684 1326699 1375836 1447308 1688526 1768932 2063754 2532789 2653398 3095631 3377052 3980097 4127508 5065578 5306796 6191262 7960194 9286893 10131156 12382524 15920388 18573786 27860679 37147572 55721358 111442716