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13868712 = 23331113449
BaseRepresentation
bin110100111001…
…111010101000
3222002121022000
4310321322220
512022244322
61213131000
7225611364
oct64717250
928077260
1013868712
117912850
124789a60
132b47750
141bb02a4
15133e3ac
hexd39ea8

13868712 has 128 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 3870720.

The previous prime is 13868711. The next prime is 13868731. The reversal of 13868712 is 21786831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13868711) by changing a digit.

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, 30664 + ... + 31112.

It is an arithmetic number, because the mean of its divisors is an integer number (354375).

Almost surely, 213868712 is an apocalyptic number.

13868712 is a gapful number since it is divisible by the number (12) 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 13868712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

13868712 is an abundant number, since it is smaller than the sum of its proper divisors (31491288).

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

13868712 is a wasteful number, since it uses less digits than its factorization.

13868712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13868712 is about 3724.0719649330. The cubic root of 13868712 is about 240.2584715353.

The spelling of 13868712 in words is "thirteen million, eight hundred sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 449 468 572 594 702 792 858 898 936 1144 1188 1287 1347 1404 1716 1796 2376 2574 2694 2808 3432 3592 3861 4041 4939 5148 5388 5837 7722 8082 9878 10296 10776 11674 12123 14817 15444 16164 17511 19756 23348 24246 29634 30888 32328 35022 39512 44451 46696 48492 52533 59268 64207 70044 88902 96984 105066 118536 128414 133353 140088 157599 177804 192621 210132 256828 266706 315198 355608 385242 420264 513656 533412 577863 630396 770484 1066824 1155726 1260792 1540968 1733589 2311452 3467178 4622904 6934356 13868712