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111440032 = 25112171693
BaseRepresentation
bin1101010010001…
…11000010100000
321202200201222121
412221013002200
5212012040112
615020314024
72522140024
oct651070240
9252621877
10111440032
11579a5600
12313a2914
131a11a962
1410b2c384
159bb4407
hex6a470a0

111440032 has 72 divisors (see below), whose sum is σ = 255492468. Its totient is φ = 47646720.

The previous prime is 111440029. The next prime is 111440039. The reversal of 111440032 is 230044111.

It can be written as a sum of positive squares in 2 ways, for example, as 110586256 + 853776 = 10516^2 + 924^2 .

It is a super-2 number, since 2×1114400322 = 24837761464322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111439988 and 111440015.

It is not an unprimeable number, because it can be changed into a prime (111440039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64978 + ... + 66670.

Almost surely, 2111440032 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 111440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127746234).

111440032 is an abundant number, since it is smaller than the sum of its proper divisors (144052436).

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

111440032 is a wasteful number, since it uses less digits than its factorization.

111440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 111440032 is about 10556.5160919690. The cubic root of 111440032 is about 481.2237754417.

Adding to 111440032 its reverse (230044111), we get a palindrome (341484143).

The spelling of 111440032 in words is "one hundred eleven million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 352 374 484 544 748 968 1496 1693 1936 2057 2992 3386 3872 4114 5984 6772 8228 13544 16456 18623 27088 28781 32912 37246 54176 57562 65824 74492 115124 148984 204853 230248 297968 316591 409706 460496 595936 633182 819412 920992 1266364 1638824 2532728 3277648 3482501 5065456 6555296 6965002 10130912 13930004 27860008 55720016 111440032