Search a number
-
+
215434080 = 253651847
BaseRepresentation
bin11001101011101…
…00001101100000
3120000101012000000
430311310031200
5420122342310
633213300000
75224105461
oct1465641540
9500335000
10215434080
111006748a4
1260194600
133582c3b4
142087cd68
1513da74c0
hexcd74360

215434080 has 168 divisors, whose sum is σ = 763508592. Its totient is φ = 57417984.

The previous prime is 215434073. The next prime is 215434133. The reversal of 215434080 is 80434512.

215434080 is a `hidden beast` number, since 2 + 1 + 543 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 115717 + ... + 117563.

It is an arithmetic number, because the mean of its divisors is an integer number (4544694).

Almost surely, 2215434080 is an apocalyptic number.

215434080 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 215434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381754296).

215434080 is an abundant number, since it is smaller than the sum of its proper divisors (548074512).

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

215434080 is an equidigital number, since it uses as much as digits as its factorization.

215434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 215434080 is about 14677.6728400656. The cubic root of 215434080 is about 599.4755417061.

Adding to 215434080 its reverse (80434512), we get a palindrome (295868592).

The spelling of 215434080 in words is "two hundred fifteen million, four hundred thirty-four thousand, eighty".