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203413024 = 25171991879
BaseRepresentation
bin11000001111111…
…01011000100000
3112011202110012201
430013331120200
5404033204044
632103502544
75016660613
oct1407753040
9464673181
10203413024
11a4904241
1258157a54
13331b0949
141d03017a
1512cd07d4
hexc1fd620

203413024 has 48 divisors (see below), whose sum is σ = 426384000. Its totient is φ = 95192064.

The previous prime is 203412991. The next prime is 203413027. The reversal of 203413024 is 420314302.

It is a junction number, because it is equal to n+sod(n) for n = 203412992 and 203413010.

It is not an unprimeable number, because it can be changed into a prime (203413027) 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 7 ways as a sum of consecutive naturals, for example, 107317 + ... + 109195.

It is an arithmetic number, because the mean of its divisors is an integer number (8883000).

Almost surely, 2203413024 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 203413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213192000).

203413024 is an abundant number, since it is smaller than the sum of its proper divisors (222970976).

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

203413024 is a wasteful number, since it uses less digits than its factorization.

203413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 203413024 is about 14262.2937846617. The cubic root of 203413024 is about 588.1113830986. Note that the first 3 decimals are identical.

Adding to 203413024 its reverse (420314302), we get a palindrome (623727326).

The spelling of 203413024 in words is "two hundred three million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 199 272 398 544 796 1592 1879 3184 3383 3758 6368 6766 7516 13532 15032 27064 30064 31943 54128 60128 63886 108256 127772 255544 373921 511088 747842 1022176 1495684 2991368 5982736 6356657 11965472 12713314 25426628 50853256 101706512 203413024