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1530199008 = 2532132149211
BaseRepresentation
bin101101100110100…
…1111101111100000
310221122100011102100
41123031033233200
511113212332013
6411501250400
752630322412
oct13315175740
93848304370
101530199008
11715837188
12368563a00
131b5036a00
141073249b2
158e512473
hex5b34fbe0

1530199008 has 216 divisors, whose sum is σ = 4766088600. Its totient is φ = 465454080.

The previous prime is 1530199001. The next prime is 1530199037. The reversal of 1530199008 is 8009910351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530199001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7252023 + ... + 7252233.

It is an arithmetic number, because the mean of its divisors is an integer number (22065225).

Almost surely, 21530199008 is an apocalyptic number.

1530199008 is a gapful number since it is divisible by the number (18) 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 1530199008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383044300).

1530199008 is an abundant number, since it is smaller than the sum of its proper divisors (3235889592).

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

1530199008 is a wasteful number, since it uses less digits than its factorization.

1530199008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1530199008 is about 39117.7582179756. The cubic root of 1530199008 is about 1152.3453102566.

The spelling of 1530199008 in words is "one billion, five hundred thirty million, one hundred ninety-nine thousand, eight".