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1112440032 = 2532112511399
BaseRepresentation
bin100001001001110…
…0111110011100000
32212112020210211200
41002103213303200
54234241040112
6302215241200
736365404254
oct10223476340
92775223750
101112440032
11520a41730
12270679200
13149618052
14a7a5a264
15679e1cdc
hex424e7ce0

1112440032 has 144 divisors (see below), whose sum is σ = 3467318400. Its totient is φ = 335520000.

The previous prime is 1112440031. The next prime is 1112440037. The reversal of 1112440032 is 2300442111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11124400322 = 2475045649592322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112439987 and 1112440014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112440031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794469 + ... + 795867.

It is an arithmetic number, because the mean of its divisors is an integer number (24078600).

Almost surely, 21112440032 is an apocalyptic number.

1112440032 is a gapful number since it is divisible by the number (12) 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 1112440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733659200).

1112440032 is an abundant number, since it is smaller than the sum of its proper divisors (2354878368).

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

1112440032 is a wasteful number, since it uses less digits than its factorization.

1112440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1112440032 is about 33353.2611898747. The cubic root of 1112440032 is about 1036.1569307549.

Adding to 1112440032 its reverse (2300442111), we get a palindrome (3412882143).

It can be divided in two parts, 1112 and 440032, that added together give a palindrome (441144).

The spelling of 1112440032 in words is "one billion, one hundred twelve million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 251 264 288 352 396 502 528 753 792 1004 1056 1399 1506 1584 2008 2259 2761 2798 3012 3168 4016 4197 4518 5522 5596 6024 8032 8283 8394 9036 11044 11192 12048 12591 15389 16566 16788 18072 22088 22384 24096 24849 25182 30778 33132 33576 36144 44176 44768 46167 49698 50364 61556 66264 67152 72288 88352 92334 99396 100728 123112 132528 134304 138501 184668 198792 201456 246224 265056 277002 351149 369336 397584 402912 492448 554004 702298 738672 795168 1053447 1108008 1404596 1477344 2106894 2216016 2809192 3160341 3862639 4213788 4432032 5618384 6320682 7725278 8427576 11236768 11587917 12641364 15450556 16855152 23175834 25282728 30901112 33710304 34763751 46351668 50565456 61802224 69527502 92703336 101130912 123604448 139055004 185406672 278110008 370813344 556220016 1112440032