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111442416 = 24313916703
BaseRepresentation
bin1101010010001…
…11100111110000
321202200212020220
412221013213300
5212012124131
615020333040
72522150001
oct651074760
9252625226
10111442416
11579a7378
12313a4180
131a11ba77
1410b2d1a8
159bb4e96
hex6a479f0

111442416 has 40 divisors (see below), whose sum is σ = 289981440. Its totient is φ = 36878016.

The previous prime is 111442403. The next prime is 111442417. The reversal of 111442416 is 614244111.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111442417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (7249536).

Almost surely, 2111442416 is an apocalyptic number.

111442416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

111442416 is an abundant number, since it is smaller than the sum of its proper divisors (178539024).

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

111442416 is a wasteful number, since it uses less digits than its factorization.

111442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16853 (or 16847 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 111442416 is about 10556.6290074057. The cubic root of 111442416 is about 481.2272069713.

Adding to 111442416 its reverse (614244111), we get a palindrome (725686527).

The spelling of 111442416 in words is "one hundred eleven million, four hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 16703 33406 50109 66812 100218 133624 200436 267248 400872 801744 2321717 4643434 6965151 9286868 13930302 18573736 27860604 37147472 55721208 111442416