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130273728 = 26313194167
BaseRepresentation
bin1111100001111…
…01000111000000
3100002010120221220
413300331013000
5231322224403
620532115040
73141210534
oct760750700
9302116856
10130273728
1167599642
1237765a80
1320cb3260
1413431bc4
15b684953
hex7c3d1c0

130273728 has 224 divisors, whose sum is σ = 406237440. Its totient is φ = 36495360.

The previous prime is 130273723. The next prime is 130273751. The reversal of 130273728 is 827372031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130273723) 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 31 ways as a sum of consecutive naturals, for example, 1944351 + ... + 1944417.

It is an arithmetic number, because the mean of its divisors is an integer number (1813560).

Almost surely, 2130273728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203118720).

130273728 is an abundant number, since it is smaller than the sum of its proper divisors (275963712).

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

130273728 is a wasteful number, since it uses less digits than its factorization.

130273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 130273728 is about 11413.7517057276. The cubic root of 130273728 is about 506.9350040587.

The spelling of 130273728 in words is "one hundred thirty million, two hundred seventy-three thousand, seven hundred twenty-eight".