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13164606 = 2347131947
BaseRepresentation
bin110010001110…
…000000111110
3220202211110000
4302032000332
511332231411
61150055130
7216616530
oct62160076
926684400
1013164606
117481844
1244aa4a6
13295c110
141a69850
151250956
hexc8e03e

13164606 has 160 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3219264.

The previous prime is 13164589. The next prime is 13164623. The reversal of 13164606 is 60646131.

13164606 is a `hidden beast` number, since 13 + 1 + 646 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13164589) and next prime (13164623).

It is a super-2 number, since 2×131646062 = 346613702270472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13164606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 280075 + ... + 280121.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 213164606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13164606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

13164606 is an abundant number, since it is smaller than the sum of its proper divisors (25865154).

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

13164606 is a wasteful number, since it uses less digits than its factorization.

13164606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13164606 is about 3628.3062164046. The cubic root of 13164606 is about 236.1217293105.

13164606 divided by its sum of digits (27) gives a triangular number (487578 = T987).

The spelling of 13164606 in words is "thirteen million, one hundred sixty-four thousand, six hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 47 54 57 63 78 81 91 94 114 117 126 133 141 162 171 182 189 234 247 266 273 282 329 342 351 378 399 423 494 513 546 567 611 658 702 741 798 819 846 893 987 1026 1053 1134 1197 1222 1269 1482 1539 1638 1729 1786 1833 1974 2106 2223 2394 2457 2538 2679 2961 3078 3458 3591 3666 3807 4277 4446 4914 5187 5358 5499 5922 6251 6669 7182 7371 7614 8037 8554 8883 10374 10773 10998 11609 12502 12831 13338 14742 15561 16074 16497 17766 18753 20007 21546 23218 24111 25662 26649 31122 32994 34827 37506 38493 40014 46683 48222 49491 53298 56259 69654 72333 76986 81263 93366 98982 104481 112518 115479 140049 144666 162526 168777 208962 230958 243789 280098 313443 337554 346437 487578 506331 626886 692874 731367 940329 1012662 1462734 1880658 2194101 4388202 6582303 13164606