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1100424000 = 26353133527
BaseRepresentation
bin100000110010111…
…0010001101000000
32211200122022221110
41001211302031000
54223202032000
6301105523320
736161310144
oct10145621500
92750568843
101100424000
11515184925
12268643540
13146c9b980
14a620d224
156691b850
hex41972340

1100424000 has 224 divisors, whose sum is σ = 3914217216. Its totient is φ = 270796800.

The previous prime is 1100423981. The next prime is 1100424023. The reversal of 1100424000 is 4240011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 310237 + ... + 313763.

It is an arithmetic number, because the mean of its divisors is an integer number (17474184).

Almost surely, 21100424000 is an apocalyptic number.

1100424000 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 1100424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957108608).

1100424000 is an abundant number, since it is smaller than the sum of its proper divisors (2813793216).

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

1100424000 is a wasteful number, since it uses less digits than its factorization.

1100424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1100424000 is about 33172.6393282175. The cubic root of 1100424000 is about 1032.4127307730.

Adding to 1100424000 its reverse (4240011), we get a palindrome (1104664011).

It can be divided in two parts, 1 and 100424000, that added together give a palindrome (100424001).

The spelling of 1100424000 in words is "one billion, one hundred million, four hundred twenty-four thousand".