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1328805210 = 23544293507
BaseRepresentation
bin100111100110011…
…1111010101011010
310102121101022001210
41033030333111122
510210133231320
6335504523550
744633441445
oct11714772532
93377338053
101328805210
11622092027
123110205b6
131823b2195
14c869c65c
157b9d00e0
hex4f33f55a

1328805210 has 16 divisors (see below), whose sum is σ = 3189132576. Its totient is φ = 354348048.

The previous prime is 1328805169. The next prime is 1328805211. The reversal of 1328805210 is 125088231.

It is a super-2 number, since 2×13288052102 = 3531446572246288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 44293507 = 1328805210 / (1 + 3 + 2 + 8 + 8 + 0 + 5 + 2 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (1328805211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22146724 + ... + 22146783.

It is an arithmetic number, because the mean of its divisors is an integer number (199320786).

Almost surely, 21328805210 is an apocalyptic number.

1328805210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328805210 is an abundant number, since it is smaller than the sum of its proper divisors (1860327366).

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

1328805210 is a wasteful number, since it uses less digits than its factorization.

1328805210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44293517.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1328805210 is about 36452.7805523804. The cubic root of 1328805210 is about 1099.3950420129.

The spelling of 1328805210 in words is "one billion, three hundred twenty-eight million, eight hundred five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 44293507 88587014 132880521 221467535 265761042 442935070 664402605 1328805210