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530409006 = 233471032029
BaseRepresentation
bin11111100111010…
…110011000101110
31100222001120101000
4133213112120232
52041241042011
6124344301130
716100254641
oct3747263056
91328046330
10530409006
11252447156
121297717a6
1385b712aa
145062da58
1531873356
hex1f9d662e

530409006 has 64 divisors (see below), whose sum is σ = 1216051200. Its totient is φ = 171276768.

The previous prime is 530408987. The next prime is 530409007. The reversal of 530409006 is 600904035.

It is a happy number.

530409006 is a `hidden beast` number, since 530 + 40 + 90 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530409007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260400 + ... + 262428.

It is an arithmetic number, because the mean of its divisors is an integer number (19000800).

Almost surely, 2530409006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530409006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608025600).

530409006 is an abundant number, since it is smaller than the sum of its proper divisors (685642194).

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

530409006 is a wasteful number, since it uses less digits than its factorization.

530409006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 530409006 is about 23030.6101959978. The cubic root of 530409006 is about 809.4753529828.

The spelling of 530409006 in words is "five hundred thirty million, four hundred nine thousand, six".

Divisors: 1 2 3 6 9 18 27 47 54 94 103 141 206 282 309 423 618 846 927 1269 1854 2029 2538 2781 4058 4841 5562 6087 9682 12174 14523 18261 29046 36522 43569 54783 87138 95363 109566 130707 190726 208987 261414 286089 417974 572178 626961 858267 1253922 1716534 1880883 2574801 3761766 5149602 5642649 9822389 11285298 19644778 29467167 58934334 88401501 176803002 265204503 530409006