Search a number
-
+
2004425280 = 26325111331157
BaseRepresentation
bin111011101111001…
…0001101001000000
312011200200100120100
41313132101221000
513101113102110
6530521442400
7100446222324
oct16736215100
95150610510
102004425280
1193949a420
1247b340400
1325c366680
141502cb984
15bae88bc0
hex77791a40

2004425280 has 672 divisors, whose sum is σ = 8414235648. Its totient is φ = 431308800.

The previous prime is 2004425257. The next prime is 2004425299. The reversal of 2004425280 is 825244002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12766962 + ... + 12767118.

It is an arithmetic number, because the mean of its divisors is an integer number (12521184).

Almost surely, 22004425280 is an apocalyptic number.

2004425280 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 2004425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207117824).

2004425280 is an abundant number, since it is smaller than the sum of its proper divisors (6409810368).

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

2004425280 is a wasteful number, since it uses less digits than its factorization.

2004425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2004425280 is about 44770.8083465108. The cubic root of 2004425280 is about 1260.8496159411.

Adding to 2004425280 its reverse (825244002), we get a palindrome (2829669282).

The spelling of 2004425280 in words is "two billion, four million, four hundred twenty-five thousand, two hundred eighty".