Search a number
-
+
203497920 = 263552617
BaseRepresentation
bin11000010000100…
…10000111000000
3112011220202200000
430020102013000
5404043413140
632105400000
75020463253
oct1410220700
9464822600
10203497920
11a4961aaa
1258199000
1333210492
141d05309a
1512ceaa30
hexc2121c0

203497920 has 168 divisors, whose sum is σ = 726149424. Its totient is φ = 54245376.

The previous prime is 203497909. The next prime is 203497933. The reversal of 203497920 is 29794302.

It is a super-5 number, since 5×2034979205 (a number of 43 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76452 + ... + 79068.

It is an arithmetic number, because the mean of its divisors is an integer number (4322318).

Almost surely, 2203497920 is an apocalyptic number.

203497920 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 203497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363074712).

203497920 is an abundant number, since it is smaller than the sum of its proper divisors (522651504).

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

203497920 is an equidigital number, since it uses as much as digits as its factorization.

203497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 203497920 is about 14265.2697135385. The cubic root of 203497920 is about 588.1931893314.

The spelling of 203497920 in words is "two hundred three million, four hundred ninety-seven thousand, nine hundred twenty".