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1327512004 = 2271329671877
BaseRepresentation
bin100111100100000…
…0011100111000100
310102111221121010021
41033020003213010
510204320341004
6335421104524
744616444250
oct11710034704
93374847107
101327512004
11621389465
123106b8144
1318204b680
14c8443260
157b826d54
hex4f2039c4

1327512004 has 96 divisors (see below), whose sum is σ = 3003598080. Its totient is φ = 499226112.

The previous prime is 1327511993. The next prime is 1327512013. The reversal of 1327512004 is 4002157231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1327512004.

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 31 ways as a sum of consecutive naturals, for example, 706314 + ... + 708190.

It is an arithmetic number, because the mean of its divisors is an integer number (31287480).

Almost surely, 21327512004 is an apocalyptic number.

1327512004 is a gapful number since it is divisible by the number (14) 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 1327512004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501799040).

1327512004 is an abundant number, since it is smaller than the sum of its proper divisors (1676086076).

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

1327512004 is a wasteful number, since it uses less digits than its factorization.

1327512004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1327512004 is about 36435.0381363873. The cubic root of 1327512004 is about 1099.0382789794.

Adding to 1327512004 its reverse (4002157231), we get a palindrome (5329669235).

The spelling of 1327512004 in words is "one billion, three hundred twenty-seven million, five hundred twelve thousand, four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 67 91 116 134 182 203 268 364 377 406 469 754 812 871 938 1508 1742 1876 1877 1943 2639 3484 3754 3886 5278 6097 7508 7772 10556 12194 13139 13601 24388 24401 25259 26278 27202 48802 50518 52556 54404 54433 97604 101036 108866 125759 170807 176813 217732 251518 341614 353626 381031 503036 683228 707252 707629 762062 880313 1415258 1524124 1634867 1760626 2830516 3269734 3521252 3647011 4953403 6539468 7294022 9906806 11444069 14588044 19813612 22888138 25529077 45776276 47411143 51058154 94822286 102116308 189644572 331878001 663756002 1327512004