Search a number
-
+
20232400 = 245250581
BaseRepresentation
bin100110100101…
…1100011010000
31102001220122011
41031023203100
520134414100
62001352304
7333654406
oct115134320
942056564
1020232400
11104699a1
126938694
134265146
142989476
151b99bba
hex134b8d0

20232400 has 30 divisors (see below), whose sum is σ = 48609302. Its totient is φ = 8092800.

The previous prime is 20232391. The next prime is 20232409. The reversal of 20232400 is 423202.

It is an interprime number because it is at equal distance from previous prime (20232391) and next prime (20232409).

It can be written as a sum of positive squares in 3 ways, for example, as 2322576 + 17909824 = 1524^2 + 4232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24891 + ... + 25690.

Almost surely, 220232400 is an apocalyptic number.

20232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232400 is an abundant number, since it is smaller than the sum of its proper divisors (28376902).

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

20232400 is a wasteful number, since it uses less digits than its factorization.

20232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50599 (or 50588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20232400 is about 4498.0440193489. The cubic root of 20232400 is about 272.4890998081.

Adding to 20232400 its reverse (423202), we get a palindrome (20655602).

The spelling of 20232400 in words is "twenty million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50581 101162 202324 252905 404648 505810 809296 1011620 1264525 2023240 2529050 4046480 5058100 10116200 20232400