Search a number
-
+
182300400 = 24325279641
BaseRepresentation
bin10101101110110…
…10111011110000
3110201000211010200
422313122323300
5333132103100
630031155200
74342346022
oct1267327360
9421024120
10182300400
11939a3a97
1251075b00
132b9cac79
141a2d6012
151100ee00
hexaddaef0

182300400 has 180 divisors, whose sum is σ = 641640480. Its totient is φ = 47923200.

The previous prime is 182300399. The next prime is 182300423. The reversal of 182300400 is 4003281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284080 + ... + 284720.

Almost surely, 2182300400 is an apocalyptic number.

182300400 is a gapful number since it is divisible by the number (10) 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 182300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320820240).

182300400 is an abundant number, since it is smaller than the sum of its proper divisors (459340080).

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

182300400 is a wasteful number, since it uses less digits than its factorization.

182300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 182300400 is about 13501.8665376310. The cubic root of 182300400 is about 567.0167310274.

Adding to 182300400 its reverse (4003281), we get a palindrome (186303681).

The spelling of 182300400 in words is "one hundred eighty-two million, three hundred thousand, four hundred".