Search a number
-
+
27238820 = 2257533671
BaseRepresentation
bin110011111101…
…0000110100100
31220020212122012
41213322012210
523433120240
62411453352
7450345320
oct147720644
956225565
1027238820
1114414a24
129157258
13584925b
143890980
1525d0b65
hex19fa1a4

27238820 has 48 divisors (see below), whose sum is σ = 66624768. Its totient is φ = 9160320.

The previous prime is 27238819. The next prime is 27238829. The reversal of 27238820 is 2883272.

It is not an unprimeable number, because it can be changed into a prime (27238829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5585 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1388016).

Almost surely, 227238820 is an apocalyptic number.

27238820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27238820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312384).

27238820 is an abundant number, since it is smaller than the sum of its proper divisors (39385948).

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

27238820 is a wasteful number, since it uses less digits than its factorization.

27238820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 27238820 is about 5219.0822948101. The cubic root of 27238820 is about 300.8819233487.

The spelling of 27238820 in words is "twenty-seven million, two hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3671 3710 7342 7420 14684 18355 25697 36710 51394 73420 102788 128485 194563 256970 389126 513940 778252 972815 1361941 1945630 2723882 3891260 5447764 6809705 13619410 27238820