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130827060 = 223257313163
BaseRepresentation
bin1111100110001…
…00001100110100
3100010011200222200
413303010030310
5231442431220
620552024500
73146004000
oct763041464
9303150880
10130827060
1167937341
1237992130
1321148080
1413537700
15b743890
hex7cc4334

130827060 has 288 divisors, whose sum is σ = 501446400. Its totient is φ = 27433728.

The previous prime is 130827043. The next prime is 130827077. The reversal of 130827060 is 60728031.

It is an interprime number because it is at equal distance from previous prime (130827043) and next prime (130827077).

It is a congruent number.

It is an unprimeable number.

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, 802539 + ... + 802701.

Almost surely, 2130827060 is an apocalyptic number.

130827060 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 130827060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250723200).

130827060 is an abundant number, since it is smaller than the sum of its proper divisors (370619340).

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

130827060 is a wasteful number, since it uses less digits than its factorization.

130827060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130827060 is about 11437.9657282228. The cubic root of 130827060 is about 507.6517184122.

The spelling of 130827060 in words is "one hundred thirty million, eight hundred twenty-seven thousand, sixty".