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1530932130 = 233571324793
BaseRepresentation
bin101101101000000…
…0010101110100010
310221200201102002000
41123100002232202
511113404312010
6411525104430
752636464660
oct13320025642
93850642060
101530932130
11716197a72
12368858116
131b5232600
14107475c30
158e6097c0
hex5b402ba2

1530932130 has 192 divisors, whose sum is σ = 5053259520. Its totient is φ = 322942464.

The previous prime is 1530932107. The next prime is 1530932131. The reversal of 1530932130 is 312390351.

It is a happy number.

1530932130 is a `hidden beast` number, since 1 + 5 + 309 + 321 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1530932094 and 1530932103.

It is not an unprimeable number, because it can be changed into a prime (1530932131) 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 95 ways as a sum of consecutive naturals, for example, 317014 + ... + 321806.

It is an arithmetic number, because the mean of its divisors is an integer number (26319060).

Almost surely, 21530932130 is an apocalyptic number.

1530932130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530932130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526629760).

1530932130 is an abundant number, since it is smaller than the sum of its proper divisors (3522327390).

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

1530932130 is a wasteful number, since it uses less digits than its factorization.

1530932130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1530932130 is about 39127.1278015650. The cubic root of 1530932130 is about 1152.5293113382.

The spelling of 1530932130 in words is "one billion, five hundred thirty million, nine hundred thirty-two thousand, one hundred thirty".