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111242624 = 271137691
BaseRepresentation
bin1101010000101…
…10110110000000
321202022201012012
412220112312000
5211434230444
615012152052
72520355343
oct650266600
9252281165
10111242624
1157880259
1231308628
131a07bb4c
1410aba45a
159b75b9e
hex6a16d80

111242624 has 32 divisors (see below), whose sum is σ = 223606440. Its totient is φ = 55121920.

The previous prime is 111242617. The next prime is 111242627. The reversal of 111242624 is 426242111.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 111242624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111242627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10619 + ... + 18309.

Almost surely, 2111242624 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 111242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111803220).

111242624 is an abundant number, since it is smaller than the sum of its proper divisors (112363816).

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

111242624 is an equidigital number, since it uses as much as digits as its factorization.

111242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7806 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 111242624 is about 10547.1618931350. The cubic root of 111242624 is about 480.9394563919.

Adding to 111242624 its reverse (426242111), we get a palindrome (537484735).

The spelling of 111242624 in words is "one hundred eleven million, two hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 7691 14464 15382 30764 61528 123056 246112 492224 869083 984448 1738166 3476332 6952664 13905328 27810656 55621312 111242624