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1530398320 = 2451121953157
BaseRepresentation
bin101101100111000…
…0000011001110000
310221122201021211021
41123032000121300
511113240221240
6411505425224
752632112453
oct13316003160
93848637737
101530398320
11715962a00
1236863b214
131b50a6649
1410737749a
158e55154a
hex5b380670

1530398320 has 240 divisors, whose sum is σ = 4221292320. Its totient is φ = 513976320.

The previous prime is 1530398291. The next prime is 1530398321. The reversal of 1530398320 is 238930351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530398321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9747682 + ... + 9747838.

It is an arithmetic number, because the mean of its divisors is an integer number (17588718).

Almost surely, 21530398320 is an apocalyptic number.

1530398320 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 1530398320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110646160).

1530398320 is an abundant number, since it is smaller than the sum of its proper divisors (2690894000).

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

1530398320 is a wasteful number, since it uses less digits than its factorization.

1530398320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 1530398320 is about 39120.3057247767. The cubic root of 1530398320 is about 1152.3953399752.

Subtracting from 1530398320 its reverse (238930351), we obtain a 6-th power (1291467969 = 336).

The spelling of 1530398320 in words is "one billion, five hundred thirty million, three hundred ninety-eight thousand, three hundred twenty".