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13530000660 = 22351140915011
BaseRepresentation
bin11001001100111001…
…10110110100010100
31021220221002020200120
430212130312310110
5210202140010120
610114322511540
7656200052031
oct144634666424
937827066616
1013530000660
115813372830
1227572055b0
13137812c167
14924cd0388
15542c44140
hex326736d14

13530000660 has 96 divisors (see below), whose sum is σ = 41346353664. Its totient is φ = 3278544000.

The previous prime is 13530000599. The next prime is 13530000667. The reversal of 13530000660 is 6600003531.

13530000660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13530000660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530000667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2697555 + ... + 2702565.

It is an arithmetic number, because the mean of its divisors is an integer number (430691184).

Almost surely, 213530000660 is an apocalyptic number.

13530000660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530000660 is an abundant number, since it is smaller than the sum of its proper divisors (27816353004).

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

13530000660 is a wasteful number, since it uses less digits than its factorization.

13530000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 13530000660 in words is "thirteen billion, five hundred thirty million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4091 5011 8182 10022 12273 15033 16364 20044 20455 24546 25055 30066 40910 45001 49092 50110 55121 60132 61365 75165 81820 90002 100220 110242 122730 135003 150330 165363 180004 220484 225005 245460 270006 275605 300660 330726 450010 540012 551210 661452 675015 826815 900020 1102420 1350030 1653630 2700060 3307260 20500001 41000002 61500003 82000004 102500005 123000006 205000010 225500011 246000012 307500015 410000020 451000022 615000030 676500033 902000044 1127500055 1230000060 1353000066 2255000110 2706000132 3382500165 4510000220 6765000330 13530000660