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130704340 = 225132811789
BaseRepresentation
bin1111100101001…
…10001111010100
3100002221110122111
413302212033110
5231430014330
620545240404
73144653134
oct762461724
9302843574
10130704340
1167863118
1237933104
1321104260
1413504ac4
15b71c32a
hex7ca63d4

130704340 has 48 divisors (see below), whose sum is σ = 296810640. Its totient is φ = 48061440.

The previous prime is 130704317. The next prime is 130704367. The reversal of 130704340 is 43407031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1245456 + 129458884 = 1116^2 + 11378^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72166 + ... + 73954.

It is an arithmetic number, because the mean of its divisors is an integer number (6183555).

Almost surely, 2130704340 is an apocalyptic number.

130704340 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 130704340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148405320).

130704340 is an abundant number, since it is smaller than the sum of its proper divisors (166106300).

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

130704340 is a wasteful number, since it uses less digits than its factorization.

130704340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 130704340 is about 11432.5998792925. The cubic root of 130704340 is about 507.4929375286.

It can be divided in two parts, 130704 and 340, that added together give a square (131044 = 3622).

The spelling of 130704340 in words is "one hundred thirty million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 562 1124 1405 1789 2810 3578 3653 5620 7156 7306 8945 14612 17890 18265 23257 35780 36530 46514 73060 93028 116285 232570 465140 502709 1005418 2010836 2513545 5027090 6535217 10054180 13070434 26140868 32676085 65352170 130704340