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1080729120 = 253519163727
BaseRepresentation
bin100000001101010…
…1001111000100000
32210022120201122110
41000122221320200
54203131312440
6255123435320
735532021522
oct10032517040
92708521573
101080729120
11505052869
12261b25b40
13142b943b3
14a3763a12
1564d2b080
hex406a9e20

1080729120 has 192 divisors, whose sum is σ = 3610414080. Its totient is φ = 270978048.

The previous prime is 1080729107. The next prime is 1080729121. The reversal of 1080729120 is 219270801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1080729121) 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 31 ways as a sum of consecutive naturals, for example, 1486197 + ... + 1486923.

It is an arithmetic number, because the mean of its divisors is an integer number (18804240).

Almost surely, 21080729120 is an apocalyptic number.

1080729120 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 1080729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805207040).

1080729120 is an abundant number, since it is smaller than the sum of its proper divisors (2529684960).

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

1080729120 is a wasteful number, since it uses less digits than its factorization.

1080729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1080729120 is about 32874.4447861861. Note that the first 3 decimals coincide. The cubic root of 1080729120 is about 1026.2164008201.

Adding to 1080729120 its reverse (219270801), we get a palindrome (1299999921).

The spelling of 1080729120 in words is "one billion, eighty million, seven hundred twenty-nine thousand, one hundred twenty".