Search a number
-
+
13887972 = 2232727873
BaseRepresentation
bin110100111110…
…100111100100
3222010120201100
4310332213210
512023403342
61213400100
7226021500
oct64764744
928116640
1013887972
11792626a
124799030
132b53447
141bb7300
151344e4c
hexd3e9e4

13887972 has 54 divisors (see below), whose sum is σ = 40842438. Its totient is φ = 3967488.

The previous prime is 13887953. The next prime is 13887977. The reversal of 13887972 is 27978831.

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 5731236 = 2856^2 + 2394^2 .

It is not an unprimeable number, because it can be changed into a prime (13887977) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2173 + ... + 5700.

Almost surely, 213887972 is an apocalyptic number.

13887972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13887972 is an abundant number, since it is smaller than the sum of its proper divisors (26954466).

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

13887972 is a wasteful number, since it uses less digits than its factorization.

13887972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7885 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 13887972 is about 3726.6569469164. The cubic root of 13887972 is about 240.3696387377.

The spelling of 13887972 in words is "thirteen million, eight hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7873 15746 23619 31492 47238 55111 70857 94476 110222 141714 165333 220444 283428 330666 385777 495999 661332 771554 991998 1157331 1543108 1983996 2314662 3471993 4629324 6943986 13887972