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530083840 = 21251113181
BaseRepresentation
bin11111100110000…
…111000000000000
31100221110001022211
4133212013000000
52041200140330
6124333311504
716064431636
oct3746070000
91327401284
10530083840
11252244920
12129635594
1385a892a0
1450587356
153180bd2a
hex1f987000

530083840 has 208 divisors, whose sum is σ = 1502688096. Its totient is φ = 176947200.

The previous prime is 530083819. The next prime is 530083843. The reversal of 530083840 is 48380035.

It is a tau number, because it is divible by the number of its divisors (208).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530083843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2928550 + ... + 2928730.

It is an arithmetic number, because the mean of its divisors is an integer number (7224462).

Almost surely, 2530083840 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 530083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751344048).

530083840 is an abundant number, since it is smaller than the sum of its proper divisors (972604256).

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

530083840 is a wasteful number, since it uses less digits than its factorization.

530083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 530083840 is about 23023.5496828790. The cubic root of 530083840 is about 809.3099035117.

The spelling of 530083840 in words is "five hundred thirty million, eighty-three thousand, eight hundred forty".