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203024140 = 225111019137
BaseRepresentation
bin11000001100111…
…10011100001100
3112011000200202121
430012132130030
5403433233030
632051302324
75013451054
oct1406363414
9464020677
10203024140
11a4669050
1257baa9a4
13330a5937
141cd6c564
1512c5547a
hexc19e70c

203024140 has 48 divisors (see below), whose sum is σ = 469766304. Its totient is φ = 73088000.

The previous prime is 203024131. The next prime is 203024147. The reversal of 203024140 is 41420302.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (203024147) 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 15 ways as a sum of consecutive naturals, for example, 17652 + ... + 26788.

It is an arithmetic number, because the mean of its divisors is an integer number (9786798).

Almost surely, 2203024140 is an apocalyptic number.

203024140 is a gapful number since it is divisible by the number (20) 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 203024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234883152).

203024140 is an abundant number, since it is smaller than the sum of its proper divisors (266742164).

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

203024140 is a wasteful number, since it uses less digits than its factorization.

203024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 203024140 is about 14248.6539715160. The cubic root of 203024140 is about 587.7363612102.

Adding to 203024140 its reverse (41420302), we get a palindrome (244444442).

It can be divided in two parts, 20302 and 4140, that added together give a palindrome (24442).

The spelling of 203024140 in words is "two hundred three million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9137 11110 18274 22220 36548 45685 91370 100507 182740 201014 402028 502535 922837 1005070 1845674 2010140 3691348 4614185 9228370 10151207 18456740 20302414 40604828 50756035 101512070 203024140