Search a number
-
+
200542032 = 24322395827
BaseRepresentation
bin10111111010000…
…00011101010000
3111222100120221200
423331000131100
5402314321112
631522151200
74653402435
oct1375003520
9458316850
10200542032
11a3223219
12571b2500
1332716c32
141c8c3b8c
1512914cdc
hexbf40750

200542032 has 60 divisors (see below), whose sum is σ = 563684160. Its totient is φ = 66556224.

The previous prime is 200542021. The next prime is 200542039. The reversal of 200542032 is 230245002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200541996 and 200542014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200542039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31503 + ... + 37329.

It is an arithmetic number, because the mean of its divisors is an integer number (9394736).

Almost surely, 2200542032 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 200542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281842080).

200542032 is an abundant number, since it is smaller than the sum of its proper divisors (363142128).

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

200542032 is a wasteful number, since it uses less digits than its factorization.

200542032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 200542032 is about 14161.2863822465. The cubic root of 200542032 is about 585.3313748249.

Adding to 200542032 its reverse (230245002), we get a palindrome (430787034).

The spelling of 200542032 in words is "two hundred million, five hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 5827 8604 11472 11654 17208 17481 23308 34416 34962 46616 52443 69924 93232 104886 139848 209772 279696 419544 839088 1392653 2785306 4177959 5570612 8355918 11141224 12533877 16711836 22282448 25067754 33423672 50135508 66847344 100271016 200542032