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203024320 = 2653132027
BaseRepresentation
bin11000001100111…
…10011111000000
3112011000201000021
430012132133000
5403433234240
632051303224
75013451432
oct1406363700
9464021007
10203024320
11a46691a4
1257baab14
13330a5a45
141cd6c652
1512c5554a
hexc19e7c0

203024320 has 56 divisors (see below), whose sum is σ = 485235504. Its totient is φ = 80910336.

The previous prime is 203024309. The next prime is 203024347. The reversal of 203024320 is 23420302.

It is a super-2 number, since 2×2030243202 = 82437749022924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 203024294 and 203024303.

It is a congruent number.

It is an unprimeable number.

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, 99147 + ... + 101173.

Almost surely, 2203024320 is an apocalyptic number.

203024320 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 203024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242617752).

203024320 is an abundant number, since it is smaller than the sum of its proper divisors (282211184).

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

203024320 is a wasteful number, since it uses less digits than its factorization.

203024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 203024320 is about 14248.6602879008. The cubic root of 203024320 is about 587.7365349047.

Adding to 203024320 its reverse (23420302), we get a palindrome (226444622).

The spelling of 203024320 in words is "two hundred three million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 313 320 626 1252 1565 2027 2504 3130 4054 5008 6260 8108 10016 10135 12520 16216 20032 20270 25040 32432 40540 50080 64864 81080 100160 129728 162160 324320 634451 648640 1268902 2537804 3172255 5075608 6344510 10151216 12689020 20302432 25378040 40604864 50756080 101512160 203024320