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1118494080 = 2732511127139
BaseRepresentation
bin100001010101010…
…1101110110000000
32212221122101102200
41002222231312000
54242313302310
6302553113200
736501020454
oct10252556600
92787571380
101118494080
115243a7180
122726b8800
1314a957822
14a8794664
15682da9c0
hex42aadd80

1118494080 has 384 divisors, whose sum is σ = 4277145600. Its totient is φ = 267079680.

The previous prime is 1118494079. The next prime is 1118494081. The reversal of 1118494080 is 804948111.

It is an interprime number because it is at equal distance from previous prime (1118494079) and next prime (1118494081).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1118494081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8046651 + ... + 8046789.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 21118494080 is an apocalyptic number.

1118494080 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 1118494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

1118494080 is an abundant number, since it is smaller than the sum of its proper divisors (3158651520).

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

1118494080 is a wasteful number, since it uses less digits than its factorization.

1118494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1118494080 is about 33443.8945100597. The cubic root of 1118494080 is about 1038.0331663253.

The spelling of 1118494080 in words is "one billion, one hundred eighteen million, four hundred ninety-four thousand, eighty".