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1045328130 = 23257111719467
BaseRepresentation
bin111110010011100…
…111000100000010
32200211222011121200
4332103213010002
54120101000010
6251421002030
734622066610
oct7623470402
92624864550
101045328130
11497073550
122520b3316
1313874ac72
149cb8a6b0
1561b86cc0
hex3e4e7102

1045328130 has 384 divisors, whose sum is σ = 3784734720. Its totient is φ = 193259520.

The previous prime is 1045328129. The next prime is 1045328159. The reversal of 1045328130 is 318235401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1045328094 and 1045328103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2238157 + ... + 2238623.

It is an arithmetic number, because the mean of its divisors is an integer number (9856080).

Almost surely, 21045328130 is an apocalyptic number.

1045328130 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 1045328130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892367360).

1045328130 is an abundant number, since it is smaller than the sum of its proper divisors (2739406590).

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

1045328130 is a wasteful number, since it uses less digits than its factorization.

1045328130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1045328130 is about 32331.5346063251. The cubic root of 1045328130 is about 1014.8866642039.

It can be divided in two parts, 10453 and 28130, that added together give a palindrome (38583).

The spelling of 1045328130 in words is "one billion, forty-five million, three hundred twenty-eight thousand, one hundred thirty".