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1105818840 = 2332572319079
BaseRepresentation
bin100000111101001…
…0111010011011000
32212001210102021100
41001322113103120
54231042200330
6301421311400
736255206430
oct10172272330
92761712240
101105818840
1151822a075
1226a405560
1314813a399
14a6c152c0
1567135060
hex41e974d8

1105818840 has 192 divisors, whose sum is σ = 4286131200. Its totient is φ = 241756416.

The previous prime is 1105818827. The next prime is 1105818899. The reversal of 1105818840 is 488185011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1105818795 and 1105818804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48421 + ... + 67499.

It is an arithmetic number, because the mean of its divisors is an integer number (22323600).

Almost surely, 21105818840 is an apocalyptic number.

1105818840 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 1105818840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143065600).

1105818840 is an abundant number, since it is smaller than the sum of its proper divisors (3180312360).

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

1105818840 is a wasteful number, since it uses less digits than its factorization.

1105818840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19126 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1105818840 is about 33253.8545134245. The cubic root of 1105818840 is about 1034.0971192045.

The spelling of 1105818840 in words is "one billion, one hundred five million, eight hundred eighteen thousand, eight hundred forty".