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130796010 = 232510114389
BaseRepresentation
bin1111100101111…
…00100111101010
3100010010010101200
413302330213222
5231440433020
620551225030
73145514322
oct762744752
9303103350
10130796010
1167915a84
1237978176
1321136bb7
141352a282
15b739590
hex7cbc9ea

130796010 has 48 divisors (see below), whose sum is σ = 343460520. Its totient is φ = 34531200.

The previous prime is 130795991. The next prime is 130796021. The reversal of 130796010 is 10697031.

It can be written as a sum of positive squares in 4 ways, for example, as 120626289 + 10169721 = 10983^2 + 3189^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896 + ... + 16284.

Almost surely, 2130796010 is an apocalyptic number.

130796010 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 130796010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171730260).

130796010 is an abundant number, since it is smaller than the sum of its proper divisors (212664510).

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

130796010 is a wasteful number, since it uses less digits than its factorization.

130796010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14503 (or 14500 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 130796010 is about 11436.6083258980. The cubic root of 130796010 is about 507.6115538544.

The spelling of 130796010 in words is "one hundred thirty million, seven hundred ninety-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 14389 28778 43167 71945 86334 129501 143890 215835 259002 431670 647505 1295010 1453289 2906578 4359867 7266445 8719734 13079601 14532890 21799335 26159202 43598670 65398005 130796010