Search a number
-
+
27099936 = 2532731289
BaseRepresentation
bin110011101100…
…0001100100000
31212222211010100
41213120030200
523414144221
62404502400
7446226363
oct147301440
955884110
1027099936
111432a646
1290aaa00
1357cac86
1438560da
1525a4926
hex19d8320

27099936 has 72 divisors (see below), whose sum is σ = 78181740. Its totient is φ = 8902656.

The previous prime is 27099929. The next prime is 27099937. The reversal of 27099936 is 63999072.

It can be written as a sum of positive squares in 2 ways, for example, as 26010000 + 1089936 = 5100^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 27099891 and 27099900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27099937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20380 + ... + 21668.

Almost surely, 227099936 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 27099936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39090870).

27099936 is an abundant number, since it is smaller than the sum of its proper divisors (51081804).

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

27099936 is a wasteful number, since it uses less digits than its factorization.

27099936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 27099936 is about 5205.7598868945. The cubic root of 27099936 is about 300.3696776078.

The spelling of 27099936 in words is "twenty-seven million, ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1289 1314 1752 2336 2578 2628 3504 3867 5156 5256 7008 7734 10312 10512 11601 15468 20624 21024 23202 30936 41248 46404 61872 92808 94097 123744 185616 188194 282291 371232 376388 564582 752776 846873 1129164 1505552 1693746 2258328 3011104 3387492 4516656 6774984 9033312 13549968 27099936