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111438404 = 227112315731
BaseRepresentation
bin1101010010001…
…10101001000100
321202200122202022
412221012221010
5212012012104
615020302312
72522132210
oct651065104
9252618668
10111438404
11579a4360
12313a1998
131a119cac
1410b2b940
159bb3bbe
hex6a46a44

111438404 has 48 divisors (see below), whose sum is σ = 253725696. Its totient is φ = 41527200.

The previous prime is 111438391. The next prime is 111438407. The reversal of 111438404 is 404834111.

It is not an unprimeable number, because it can be changed into a prime (111438407) 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 15 ways as a sum of consecutive naturals, for example, 782 + ... + 14949.

It is an arithmetic number, because the mean of its divisors is an integer number (5285952).

Almost surely, 2111438404 is an apocalyptic number.

111438404 is a gapful number since it is divisible by the number (14) 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 111438404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126862848).

111438404 is an abundant number, since it is smaller than the sum of its proper divisors (142287292).

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

111438404 is a wasteful number, since it uses less digits than its factorization.

111438404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15776 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 111438404 is about 10556.4389829146. The cubic root of 111438404 is about 481.2214320704.

The spelling of 111438404 in words is "one hundred eleven million, four hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 7084 15731 31462 62924 110117 173041 220234 346082 361813 440468 692164 723626 1211287 1447252 2422574 2532691 3979943 4845148 5065382 7959886 10130764 15919772 27859601 55719202 111438404