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13671882 = 233725167
BaseRepresentation
bin110100001001…
…110111001010
3221201121022000
4310021313022
512000000012
61205011430
7224131500
oct64116712
927647260
1013671882
117798984
1246b3b76
132aa8c93
141b5c670
151300ddc
hexd09dca

13671882 has 48 divisors (see below), whose sum is σ = 35349120. Its totient is φ = 3905496.

The previous prime is 13671881. The next prime is 13671883. The reversal of 13671882 is 28817631.

13671882 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13671881) and next prime (13671883).

It is not an unprimeable number, because it can be changed into a prime (13671881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (736440).

Almost surely, 213671882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13671882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674560).

13671882 is an abundant number, since it is smaller than the sum of its proper divisors (21677238).

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

13671882 is a wasteful number, since it uses less digits than its factorization.

13671882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5179 counting only the distinct ones).

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

The square root of 13671882 is about 3697.5508110099. The cubic root of 13671882 is about 239.1164386557.

It can be divided in two parts, 1367 and 1882, that added together give a square (3249 = 572).

The spelling of 13671882 in words is "thirteen million, six hundred seventy-one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 5167 10334 15501 31002 36169 46503 72338 93006 108507 139509 217014 253183 279018 325521 506366 651042 759549 976563 1519098 1953126 2278647 4557294 6835941 13671882