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1116403200 = 29325211881
BaseRepresentation
bin100001010001010…
…1111011000000000
32212210201011021200
41002202233120000
54241244400300
6302440221200
736444161553
oct10242573000
92783634250
101116403200
115231a9280
12271a6a800
1314a3a4c13
14a83ac69a
1568026200
hex428af600

1116403200 has 360 divisors, whose sum is σ = 4363455096. Its totient is φ = 270336000.

The previous prime is 1116403193. The next prime is 1116403201. The reversal of 1116403200 is 23046111.

It is a happy number.

1116403200 is a `hidden beast` number, since 1 + 1 + 1 + 640 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×11164032002 = 2492712209940480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116403201) 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 35 ways as a sum of consecutive naturals, for example, 1266760 + ... + 1267640.

Almost surely, 21116403200 is an apocalyptic number.

1116403200 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 1116403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181727548).

1116403200 is an abundant number, since it is smaller than the sum of its proper divisors (3247051896).

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

1116403200 is a wasteful number, since it uses less digits than its factorization.

1116403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1116403200 is about 33412.6203701536. The cubic root of 1116403200 is about 1037.3859399456.

Adding to 1116403200 its reverse (23046111), we get a palindrome (1139449311).

The spelling of 1116403200 in words is "one billion, one hundred sixteen million, four hundred three thousand, two hundred".