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1118120640 = 263571312799
BaseRepresentation
bin100001010100101…
…0010101011000000
32212220221102011120
41002221102223000
54242214330030
6302541112240
736464603640
oct10251225300
92786842146
101118120640
1152417164a
12272558680
1314a856860
14a86d8520
1568265010
hex42a52ac0

1118120640 has 224 divisors, whose sum is σ = 4369612800. Its totient is φ = 235892736.

The previous prime is 1118120629. The next prime is 1118120657. The reversal of 1118120640 is 460218111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1118120640.

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, 80961 + ... + 93759.

It is an arithmetic number, because the mean of its divisors is an integer number (19507200).

Almost surely, 21118120640 is an apocalyptic number.

1118120640 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 1118120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184806400).

1118120640 is an abundant number, since it is smaller than the sum of its proper divisors (3251492160).

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

1118120640 is a wasteful number, since it uses less digits than its factorization.

1118120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839 (or 12829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1118120640 is about 33438.3109621285. The cubic root of 1118120640 is about 1037.9176281619.

Adding to 1118120640 its reverse (460218111), we get a palindrome (1578338751).

The spelling of 1118120640 in words is "one billion, one hundred eighteen million, one hundred twenty thousand, six hundred forty".