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1327664216 = 231943712861
BaseRepresentation
bin100111100100010…
…1000110001011000
310102112020022220202
41033020220301120
510204340223331
6335424241332
744620650104
oct11710506130
93375208822
101327664216
1162148285a
12310770248
131820a2a38
14c8482904
157b856ecb
hex4f228c58

1327664216 has 64 divisors (see below), whose sum is σ = 2720044800. Its totient is φ = 605404800.

The previous prime is 1327664209. The next prime is 1327664237. The reversal of 1327664216 is 6124667231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1327664216.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 462626 + ... + 465486.

It is an arithmetic number, because the mean of its divisors is an integer number (42500700).

Almost surely, 21327664216 is an apocalyptic number.

It is an amenable number.

1327664216 is an abundant number, since it is smaller than the sum of its proper divisors (1392380584).

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

1327664216 is a wasteful number, since it uses less digits than its factorization.

1327664216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2996 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 1327664216 is about 36437.1268900280. The cubic root of 1327664216 is about 1099.0802824719.

The spelling of 1327664216 in words is "one billion, three hundred twenty-seven million, six hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 19 38 43 71 76 86 142 152 172 284 344 568 817 1349 1634 2698 2861 3053 3268 5396 5722 6106 6536 10792 11444 12212 22888 24424 54359 58007 108718 116014 123023 203131 217436 232028 246046 406262 434872 464056 492092 812524 984184 1625048 2337437 3859489 4674874 7718978 8734633 9349748 15437956 17469266 18699496 30875912 34938532 69877064 165958027 331916054 663832108 1327664216