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1328905215 = 3251117791999
BaseRepresentation
bin100111100110101…
…0111101111111111
310102121120101020200
41033031113233333
510210144431330
6335511014543
744634336141
oct11715275777
93377511220
101328905215
11622150180
1231106a453
13182418861
14c86c6c91
157b9eea60
hex4f357bff

1328905215 has 96 divisors (see below), whose sum is σ = 2695680000. Its totient is φ = 598440960.

The previous prime is 1328905187. The next prime is 1328905217. The reversal of 1328905215 is 5125098231.

It is not a de Polignac number, because 1328905215 - 25 = 1328905183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1328905215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328905217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663786 + ... + 665784.

It is an arithmetic number, because the mean of its divisors is an integer number (28080000).

Almost surely, 21328905215 is an apocalyptic number.

1328905215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1328905215 is an abundant number, since it is smaller than the sum of its proper divisors (1366774785).

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

1328905215 is a wasteful number, since it uses less digits than its factorization.

1328905215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1328905215 is about 36454.1522326333. The cubic root of 1328905215 is about 1099.4226212352.

The spelling of 1328905215 in words is "one billion, three hundred twenty-eight million, nine hundred five thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 79 85 99 153 165 187 237 255 395 495 561 711 765 869 935 1185 1343 1683 1999 2607 2805 3555 4029 4345 5997 6715 7821 8415 9995 12087 13035 14773 17991 20145 21989 29985 33983 39105 44319 60435 65967 73865 89955 101949 109945 132957 157921 169915 197901 221595 305847 329835 373813 473763 509745 664785 789605 989505 1121439 1421289 1529235 1737131 1869065 2368815 2684657 3364317 5211393 5607195 7106445 8053971 8685655 13423285 15634179 16821585 24161913 26056965 29531227 40269855 78170895 88593681 120809565 147656135 265781043 442968405 1328905215