Search a number
-
+
207124144 = 24314091021
BaseRepresentation
bin11000101100001…
…11011010110000
3112102201222220121
430112013122300
5411010433034
632315220024
75063345323
oct1426073260
9472658817
10207124144
11a6a09487
1259447614
1333bacb86
141d7187ba
15132b51b4
hexc5876b0

207124144 has 40 divisors (see below), whose sum is σ = 415667840. Its totient is φ = 99878400.

The previous prime is 207124139. The next prime is 207124147. The reversal of 207124144 is 441421702.

It is a super-3 number, since 3×2071241443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (207124147) 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 7 ways as a sum of consecutive naturals, for example, 202354 + ... + 203374.

It is an arithmetic number, because the mean of its divisors is an integer number (10391696).

Almost surely, 2207124144 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 207124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207833920).

207124144 is an abundant number, since it is smaller than the sum of its proper divisors (208543696).

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

207124144 is a wasteful number, since it uses less digits than its factorization.

207124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 207124144 is about 14391.8082255150. The cubic root of 207124144 is about 591.6664026272. Note that the first 3 decimals are identical.

Adding to 207124144 its reverse (441421702), we get a palindrome (648545846).

The spelling of 207124144 in words is "two hundred seven million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 409 496 818 1021 1636 2042 3272 4084 6544 8168 12679 16336 25358 31651 50716 63302 101432 126604 202864 253208 417589 506416 835178 1670356 3340712 6681424 12945259 25890518 51781036 103562072 207124144