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203540864 = 2717891051
BaseRepresentation
bin11000010000111…
…00100110000000
3112011222221120112
430020130212000
5404101301424
632110330452
75021032412
oct1410344600
9464887515
10203540864
11a499129a
12581b9a28
1333226ba7
141d0649b2
1512d0860e
hexc21c980

203540864 has 64 divisors (see below), whose sum is σ = 434581200. Its totient is φ = 94617600.

The previous prime is 203540861. The next prime is 203540867. The reversal of 203540864 is 468045302.

It is an interprime number because it is at equal distance from previous prime (203540861) and next prime (203540867).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 203540864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203540861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193139 + ... + 194189.

Almost surely, 2203540864 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 203540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217290600).

203540864 is an abundant number, since it is smaller than the sum of its proper divisors (231040336).

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

203540864 is a wasteful number, since it uses less digits than its factorization.

203540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 203540864 is about 14266.7748282504. The cubic root of 203540864 is about 588.2345617309.

The spelling of 203540864 in words is "two hundred three million, five hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 272 356 544 712 1051 1088 1424 1513 2102 2176 2848 3026 4204 5696 6052 8408 11392 12104 16816 17867 24208 33632 35734 48416 67264 71468 93539 96832 134528 142936 187078 193664 285872 374156 571744 748312 1143488 1496624 1590163 2286976 2993248 3180326 5986496 6360652 11972992 12721304 25442608 50885216 101770432 203540864