Search a number
-
+
27431120 = 245342889
BaseRepresentation
bin110100010100…
…1000011010000
31220121122102102
41220221003100
524010243440
62415535532
7452106053
oct150510320
956548372
1027431120
1114536452
12922a5a8
1358b5942
143900a9a
15261cb15
hex1a290d0

27431120 has 20 divisors (see below), whose sum is σ = 63777540. Its totient is φ = 10972416.

The previous prime is 27431101. The next prime is 27431123. The reversal of 27431120 is 2113472.

It can be written as a sum of positive squares in 2 ways, for example, as 3655744 + 23775376 = 1912^2 + 4876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 27431092 and 27431101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27431123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171365 + ... + 171524.

It is an arithmetic number, because the mean of its divisors is an integer number (3188877).

Almost surely, 227431120 is an apocalyptic number.

27431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27431120 is an abundant number, since it is smaller than the sum of its proper divisors (36346420).

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

27431120 is a wasteful number, since it uses less digits than its factorization.

27431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342902 (or 342896 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27431120 is about 5237.4726729597. The cubic root of 27431120 is about 301.5883167335.

Adding to 27431120 its reverse (2113472), we get a palindrome (29544592).

The spelling of 27431120 in words is "twenty-seven million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 342889 685778 1371556 1714445 2743112 3428890 5486224 6857780 13715560 27431120