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1530334080 = 27335118397
BaseRepresentation
bin101101100110111…
…0000101110000000
310221122121000201000
41123031300232000
511113231142310
6411504212000
752631424252
oct13315605600
93848530630
101530334080
11715919710
1236860a000
131b5083332
1410735bcd2
158e53c4c0
hex5b370b80

1530334080 has 512 divisors, whose sum is σ = 6045580800. Its totient is φ = 362741760.

The previous prime is 1530334073. The next prime is 1530334093. The reversal of 1530334080 is 804330351.

It is a happy number.

1530334080 is a `hidden beast` number, since 15 + 303 + 340 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15776592 + ... + 15776688.

It is an arithmetic number, because the mean of its divisors is an integer number (11807775).

Almost surely, 21530334080 is an apocalyptic number.

1530334080 is a gapful number since it is divisible by the number (10) 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 1530334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022790400).

1530334080 is an abundant number, since it is smaller than the sum of its proper divisors (4515246720).

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

1530334080 is a wasteful number, since it uses less digits than its factorization.

1530334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1530334080 is about 39119.4846591823. The cubic root of 1530334080 is about 1152.3792154339.

The spelling of 1530334080 in words is "one billion, five hundred thirty million, three hundred thirty-four thousand, eighty".