Search a number
-
+
202403124 = 223472111961
BaseRepresentation
bin11000001000001…
…10110100110100
3112002212010220000
430010012310310
5403303344444
632030111300
75005253400
oct1404066464
9462763800
10202403124
11a4284510
125794b530
1332c19081
141cc4a100
1512b81469
hexc106d34

202403124 has 360 divisors, whose sum is σ = 718391520. Its totient is φ = 48988800.

The previous prime is 202403087. The next prime is 202403129. The reversal of 202403124 is 421304202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202403097 and 202403106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202403129) 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 119 ways as a sum of consecutive naturals, for example, 3318054 + ... + 3318114.

It is an arithmetic number, because the mean of its divisors is an integer number (1995532).

Almost surely, 2202403124 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 202403124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359195760).

202403124 is an abundant number, since it is smaller than the sum of its proper divisors (515988396).

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

202403124 is a wasteful number, since it uses less digits than its factorization.

202403124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202403124 is about 14226.8451878834. The cubic root of 202403124 is about 587.1364876043.

Adding to 202403124 its reverse (421304202), we get a palindrome (623707326).

The spelling of 202403124 in words is "two hundred two million, four hundred three thousand, one hundred twenty-four".