Search a number
-
+
530910000 = 24325417347
BaseRepresentation
bin11111101001010…
…000101100110000
31101000000000121100
4133221100230300
52041403110000
6124403124400
716104442365
oct3751205460
91330000540
10530910000
112527595a5
12129973700
1385cb833a
145072046c
1531921a00
hex1fa50b30

530910000 has 300 divisors, whose sum is σ = 1971550152. Its totient is φ = 132864000.

The previous prime is 530909993. The next prime is 530910001. The reversal of 530910000 is 19035.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (530910001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529827 + ... + 1530173.

Almost surely, 2530910000 is an apocalyptic number.

530910000 is a gapful number since it is divisible by the number (50) 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 530910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985775076).

530910000 is an abundant number, since it is smaller than the sum of its proper divisors (1440640152).

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

530910000 is a wasteful number, since it uses less digits than its factorization.

530910000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 530910000 is about 23041.4843271869. The cubic root of 530910000 is about 809.7301341506.

Adding to 530910000 its reverse (19035), we get a palindrome (530929035).

The spelling of 530910000 in words is "five hundred thirty million, nine hundred ten thousand".