Search a number
-
+
530880000 = 29354779
BaseRepresentation
bin11111101001001…
…001011000000000
31100222221111110020
4133221021120000
52041401130000
6124402333440
716104256050
oct3751113000
91328844406
10530880000
11252739002
1212995a280
1385ca77a1
1450713560
1531917ba0
hex1fa49600

530880000 has 400 divisors, whose sum is σ = 2045345280. Its totient is φ = 119808000.

The previous prime is 530879971. The next prime is 530880001. The reversal of 530880000 is 88035.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530880001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719961 + ... + 6720039.

Almost surely, 2530880000 is an apocalyptic number.

530880000 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 530880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022672640).

530880000 is an abundant number, since it is smaller than the sum of its proper divisors (1514465280).

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

530880000 is an frugal number, since it uses more digits than its factorization.

530880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 530880000 is about 23040.8333182635. The cubic root of 530880000 is about 809.7148821232.

The spelling of 530880000 in words is "five hundred thirty million, eight hundred eighty thousand".