Search a number
-
+
203868368 = 241110910627
BaseRepresentation
bin11000010011011…
…00100011010000
3112012121120211022
430021230203100
5404142241433
632121335012
75023565264
oct1411544320
9465546738
10203868368
11a5095360
1258337468
133330cc92
141d10c0a4
1512d70698
hexc26c8d0

203868368 has 40 divisors (see below), whose sum is σ = 434897760. Its totient is φ = 91808640.

The previous prime is 203868367. The next prime is 203868373. The reversal of 203868368 is 863868302.

It is a super-2 number, since 2×2038683682 = 83124622941966848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203868361) 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 7 ways as a sum of consecutive naturals, for example, 13871 + ... + 24497.

It is an arithmetic number, because the mean of its divisors is an integer number (10872444).

Almost surely, 2203868368 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 203868368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217448880).

203868368 is an abundant number, since it is smaller than the sum of its proper divisors (231029392).

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

203868368 is a wasteful number, since it uses less digits than its factorization.

203868368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 203868368 is about 14278.2480718049. The cubic root of 203868368 is about 588.5498889729.

The spelling of 203868368 in words is "two hundred three million, eight hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 9592 10627 19184 21254 42508 85016 116897 170032 233794 467588 935176 1158343 1870352 2316686 4633372 9266744 12741773 18533488 25483546 50967092 101934184 203868368