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13871312 = 2472131361
BaseRepresentation
bin110100111010…
…100011010000
3222002201212022
4310322203100
512022340222
61213151012
7225622100
oct64724320
928081768
1013871312
1179147a4
12478b468
132b489a0
141bb1200
151340042
hexd3a8d0

13871312 has 60 divisors (see below), whose sum is σ = 33693156. Its totient is φ = 5483520.

The previous prime is 13871293. The next prime is 13871357. The reversal of 13871312 is 21317831.

It can be written as a sum of positive squares in 2 ways, for example, as 2202256 + 11669056 = 1484^2 + 3416^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 11 ways as a sum of consecutive naturals, for example, 9512 + ... + 10872.

Almost surely, 213871312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13871312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846578).

13871312 is an abundant number, since it is smaller than the sum of its proper divisors (19821844).

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

13871312 is a wasteful number, since it uses less digits than its factorization.

13871312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1383 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 13871312 is about 3724.4210288312. The cubic root of 13871312 is about 240.2734845371.

The spelling of 13871312 in words is "thirteen million, eight hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1361 1456 2548 2722 5096 5444 9527 10192 10888 17693 19054 21776 35386 38108 66689 70772 76216 123851 133378 141544 152432 247702 266756 283088 495404 533512 866957 990808 1067024 1733914 1981616 3467828 6935656 13871312