Search a number
-
+
13687275 = 352729231
BaseRepresentation
bin110100001101…
…100111101011
3221202101102010
4310031213223
512000443100
61205211003
7224224410
oct64154753
927671363
1013687275
1177a94a8
124700a63
132ab2ca4
141b64107
151305750
hexd0d9eb

13687275 has 72 divisors (see below), whose sum is σ = 27649024. Its totient is φ = 5846400.

The previous prime is 13687253. The next prime is 13687279. The reversal of 13687275 is 57278631.

13687275 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13687275 - 26 = 13687211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13687279) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 441510 + ... + 441540.

Almost surely, 213687275 is an apocalyptic number.

13687275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13687275 is an abundant number, since it is smaller than the sum of its proper divisors (13961749).

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

13687275 is a wasteful number, since it uses less digits than its factorization.

13687275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 13687275 is about 3699.6317384302. The cubic root of 13687275 is about 239.2061443950.

The spelling of 13687275 in words is "thirteen million, six hundred eighty-seven thousand, two hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 29 31 35 75 87 93 105 145 155 175 203 217 435 465 525 609 651 725 775 841 899 1015 1085 2175 2325 2523 2697 3045 3255 4205 4495 5075 5425 5887 6293 12615 13485 15225 16275 17661 18879 21025 22475 26071 29435 31465 63075 67425 78213 88305 94395 130355 147175 157325 182497 391065 441525 471975 547491 651775 912485 1955325 2737455 4562425 13687275