Search a number
-
+
255004000 = 2553371723
BaseRepresentation
bin11110011001100…
…00110101100000
3122202211112201121
433030300311200
51010240112000
641145342024
76214332616
oct1714606540
9582745647
10255004000
11120a41309
1271497914
1340aa5254
1425c1d6b6
15175c1b1a
hexf330d60

255004000 has 96 divisors (see below), whose sum is σ = 643851936. Its totient is φ = 99187200.

The previous prime is 255003977. The next prime is 255004003. The reversal of 255004000 is 400552.

Adding to 255004000 its reverse (400552), we get a palindrome (255404552).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255004003) 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 15 ways as a sum of consecutive naturals, for example, 147139 + ... + 148861.

It is an arithmetic number, because the mean of its divisors is an integer number (6706791).

Almost surely, 2255004000 is an apocalyptic number.

255004000 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 255004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321925968).

255004000 is an abundant number, since it is smaller than the sum of its proper divisors (388847936).

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

255004000 is a wasteful number, since it uses less digits than its factorization.

255004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 255004000 is about 15968.8446670384. The cubic root of 255004000 is about 634.1358862470.

The spelling of 255004000 in words is "two hundred fifty-five million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1723 1850 2000 2960 3446 3700 4000 4625 5920 6892 7400 8615 9250 13784 14800 17230 18500 27568 29600 34460 37000 43075 55136 63751 68920 74000 86150 127502 137840 148000 172300 215375 255004 275680 318755 344600 430750 510008 637510 689200 861500 1020016 1275020 1378400 1593775 1723000 2040032 2550040 3187550 3446000 5100080 6375100 6892000 7968875 10200160 12750200 15937750 25500400 31875500 51000800 63751000 127502000 255004000