Search a number
-
+
204025032 = 233271107373
BaseRepresentation
bin11000010100100…
…10110011001000
3112012220112201200
430022102303020
5404212300112
632124544200
75025120111
oct1412226310
9465815650
10204025032
11a5192032
12583b2060
1333366393
141d14d208
1512da1cdc
hexc292cc8

204025032 has 96 divisors (see below), whose sum is σ = 567103680. Its totient is φ = 66245760.

The previous prime is 204024991. The next prime is 204025091. The reversal of 204025032 is 230520402.

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 = 204024996 and 204025014.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 546798 + ... + 547170.

It is an arithmetic number, because the mean of its divisors is an integer number (5907330).

Almost surely, 2204025032 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 204025032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283551840).

204025032 is an abundant number, since it is smaller than the sum of its proper divisors (363078648).

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

204025032 is a wasteful number, since it uses less digits than its factorization.

204025032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

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

The square root of 204025032 is about 14283.7331254823. The cubic root of 204025032 is about 588.7006087280.

Adding to 204025032 its reverse (230520402), we get a palindrome (434545434).

It can be divided in two parts, 2040 and 25032, that added together give a palindrome (27072).

The spelling of 204025032 in words is "two hundred four million, twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 107 142 213 214 284 321 373 426 428 568 639 642 746 852 856 963 1119 1278 1284 1492 1704 1926 2238 2556 2568 2984 3357 3852 4476 5112 6714 7597 7704 8952 13428 15194 22791 26483 26856 30388 39911 45582 52966 60776 68373 79449 79822 91164 105932 119733 136746 158898 159644 182328 211864 238347 239466 273492 317796 319288 359199 476694 478932 546984 635592 718398 953388 957864 1436796 1906776 2833681 2873592 5667362 8501043 11334724 17002086 22669448 25503129 34004172 51006258 68008344 102012516 204025032