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1112454400 = 28521011721
BaseRepresentation
bin100001001001110…
…1011010100000000
32212112021112112211
41002103223110000
54234242020100
6302215431504
736365464201
oct10223532400
92775245484
101112454400
11520a51502
12270685594
13149621755
14a7a615a8
15679e61ba
hex424eb500

1112454400 has 108 divisors (see below), whose sum is σ = 2782376604. Its totient is φ = 440320000.

The previous prime is 1112454383. The next prime is 1112454401. The reversal of 1112454400 is 44542111.

1112454400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 82301184 + 1030153216 = 9072^2 + 32096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112454401) 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 11 ways as a sum of consecutive naturals, for example, 645540 + ... + 647260.

Almost surely, 21112454400 is an apocalyptic number.

1112454400 is a gapful number since it is divisible by the number (10) 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 1112454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391188302).

1112454400 is an abundant number, since it is smaller than the sum of its proper divisors (1669922204).

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

1112454400 is a wasteful number, since it uses less digits than its factorization.

1112454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1112454400 is about 33353.4765804106. The cubic root of 1112454400 is about 1036.1613916512.

Adding to 1112454400 its reverse (44542111), we get a palindrome (1156996511).

The spelling of 1112454400 in words is "one billion, one hundred twelve million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 128 160 200 202 256 320 400 404 505 640 800 808 1010 1280 1600 1616 1721 2020 2525 3200 3232 3442 4040 5050 6400 6464 6884 8080 8605 10100 12928 13768 16160 17210 20200 25856 27536 32320 34420 40400 43025 55072 64640 68840 80800 86050 110144 129280 137680 161600 172100 173821 220288 275360 323200 344200 347642 440576 550720 646400 688400 695284 869105 1101440 1376800 1390568 1738210 2202880 2753600 2781136 3476420 4345525 5507200 5562272 6952840 8691050 11014400 11124544 13905680 17382100 22249088 27811360 34764200 44498176 55622720 69528400 111245440 139056800 222490880 278113600 556227200 1112454400