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1328521280 = 2654151629
BaseRepresentation
bin100111100101111…
…1010000001000000
310102120211212120212
41033023322001000
510210100140110
6335454453252
744631146612
oct11713720100
93376755525
101328521280
11621a08779
12310b04228
13182312b88
14c8626db2
157b975e05
hex4f2fa040

1328521280 has 28 divisors (see below), whose sum is σ = 3163542060. Its totient is φ = 531408384.

The previous prime is 1328521277. The next prime is 1328521289. The reversal of 1328521280 is 821258231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1007681536 + 320839744 = 31744^2 + 17912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1328521289) 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 3 ways as a sum of consecutive naturals, for example, 2075495 + ... + 2076134.

It is an arithmetic number, because the mean of its divisors is an integer number (112983645).

Almost surely, 21328521280 is an apocalyptic number.

1328521280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328521280 is an abundant number, since it is smaller than the sum of its proper divisors (1835020780).

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

1328521280 is an equidigital number, since it uses as much as digits as its factorization.

1328521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151646 (or 4151636 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1328521280 is about 36448.8858540285. The cubic root of 1328521280 is about 1099.3167326998.

The spelling of 1328521280 in words is "one billion, three hundred twenty-eight million, five hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4151629 8303258 16606516 20758145 33213032 41516290 66426064 83032580 132852128 166065160 265704256 332130320 664260640 1328521280