Search a number
-
+
400230405 = 32517523177
BaseRepresentation
bin10111110110110…
…000100000000101
31000220002210220100
4113312300200011
51304424333110
6103414154313
712626621331
oct2766604005
91026083810
10400230405
11195a13033
12b2052999
1364bc2433
143b2247c1
152520bbc0
hex17db0805

400230405 has 24 divisors (see below), whose sum is σ = 734541912. Its totient is φ = 200899584.

The previous prime is 400230403. The next prime is 400230407. The reversal of 400230405 is 504032004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400230403) and next prime (400230407).

It can be written as a sum of positive squares in 4 ways, for example, as 15992001 + 384238404 = 3999^2 + 19602^2 .

It is not a de Polignac number, because 400230405 - 21 = 400230403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400230403) 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 23 ways as a sum of consecutive naturals, for example, 260824 + ... + 262353.

It is an arithmetic number, because the mean of its divisors is an integer number (30605913).

Almost surely, 2400230405 is an apocalyptic number.

400230405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400230405 is a deficient number, since it is larger than the sum of its proper divisors (334311507).

400230405 is a wasteful number, since it uses less digits than its factorization.

400230405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523205 (or 523202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 400230405 is about 20005.7592957628. The cubic root of 400230405 is about 736.9477424535.

Adding to 400230405 its reverse (504032004), we get a palindrome (904262409).

The spelling of 400230405 in words is "four hundred million, two hundred thirty thousand, four hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 523177 1569531 2615885 4708593 7847655 8894009 23542965 26682027 44470045 80046081 133410135 400230405