Search a number
-
+
111431424 = 2831311161
BaseRepresentation
bin1101010010001…
…00111100000000
321202200022011210
412221010330000
5212011301144
615020210120
72522102646
oct651047400
9252608153
10111431424
115799a095
1231399940
131a116a70
1410b29196
159bb1ab9
hex6a44f00

111431424 has 72 divisors (see below), whose sum is σ = 319411792. Its totient is φ = 34283520.

The previous prime is 111431417. The next prime is 111431459. The reversal of 111431424 is 424134111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111431424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4404 + ... + 15564.

Almost surely, 2111431424 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 111431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159705896).

111431424 is an abundant number, since it is smaller than the sum of its proper divisors (207980368).

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

111431424 is a wasteful number, since it uses less digits than its factorization.

111431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11193 (or 11179 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 111431424 is about 10556.1083738279. The cubic root of 111431424 is about 481.2113846792.

Adding to 111431424 its reverse (424134111), we get a palindrome (535565535).

The spelling of 111431424 in words is "one hundred eleven million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 11161 22322 33483 44644 66966 89288 133932 145093 178576 267864 290186 357152 435279 535728 580372 714304 870558 1071456 1160744 1428608 1741116 2142912 2321488 2857216 3482232 4285824 4642976 6964464 8571648 9285952 13928928 18571904 27857856 37143808 55715712 111431424