Search a number
-
+
143630400 = 26352231301
BaseRepresentation
bin10001000111110…
…10000001000000
3101000021011212110
420203322001000
5243232133100
622130255320
73362560344
oct1043720100
9330234773
10143630400
1174091711
1240127540
13239ab904
141510b624
15c922250
hex88fa040

143630400 has 168 divisors, whose sum is σ = 492093504. Its totient is φ = 36608000.

The previous prime is 143630393. The next prime is 143630401. The reversal of 143630400 is 4036341.

It is not an unprimeable number, because it can be changed into a prime (143630401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109750 + ... + 111050.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 2143630400 is an apocalyptic number.

143630400 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 143630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246046752).

143630400 is an abundant number, since it is smaller than the sum of its proper divisors (348463104).

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

143630400 is a wasteful number, since it uses less digits than its factorization.

143630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 143630400 is about 11984.5901056315. The cubic root of 143630400 is about 523.6994566583.

Adding to 143630400 its reverse (4036341), we get a palindrome (147666741).

The spelling of 143630400 in words is "one hundred forty-three million, six hundred thirty thousand, four hundred".