Search a number
-
+
203684920 = 2356078389
BaseRepresentation
bin11000010001111…
…11110000111000
3112012021021011221
430020333300320
5404120404140
632113401424
75022202405
oct1410776070
9465237157
10203684920
11a4a7a54a
1258269274
133327762a
141d0a12ac
1512d3614a
hexc23fc38

203684920 has 32 divisors (see below), whose sum is σ = 459100800. Its totient is φ = 81330048.

The previous prime is 203684839. The next prime is 203684927. The reversal of 203684920 is 29486302.

203684920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203684927) 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, 20086 + ... + 28474.

It is an arithmetic number, because the mean of its divisors is an integer number (14346900).

Almost surely, 2203684920 is an apocalyptic number.

203684920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203684920 is an abundant number, since it is smaller than the sum of its proper divisors (255415880).

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

203684920 is a wasteful number, since it uses less digits than its factorization.

203684920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 203684920 is about 14271.8225885834. The cubic root of 203684920 is about 588.3733032968.

The spelling of 203684920 in words is "two hundred three million, six hundred eighty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 607 1214 2428 3035 4856 6070 8389 12140 16778 24280 33556 41945 67112 83890 167780 335560 5092123 10184246 20368492 25460615 40736984 50921230 101842460 203684920