Search a number
-
+
130344540 = 2235101137157
BaseRepresentation
bin1111100010011…
…10011001011100
3100002021012002120
413301032121130
5231332011130
620533422540
73141624144
oct761163134
9302235076
10130344540
1167637867
123779aa50
1321009561
141344d924
15b69a910
hex7c4e65c

130344540 has 96 divisors (see below), whose sum is σ = 373633344. Its totient is φ = 33945600.

The previous prime is 130344521. The next prime is 130344563. The reversal of 130344540 is 45443031.

It is a self number, because there is not a number n which added to its sum of digits gives 130344540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830142 + ... + 830298.

It is an arithmetic number, because the mean of its divisors is an integer number (3892014).

Almost surely, 2130344540 is an apocalyptic number.

130344540 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 130344540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186816672).

130344540 is an abundant number, since it is smaller than the sum of its proper divisors (243288804).

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

130344540 is a wasteful number, since it uses less digits than its factorization.

130344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 130344540 is about 11416.8533318073. The cubic root of 130344540 is about 507.0268378201.

Adding to 130344540 its reverse (45443031), we get a palindrome (175787571).

The spelling of 130344540 in words is "one hundred thirty million, three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 137 157 202 274 303 314 404 411 471 505 548 606 628 685 785 822 942 1010 1212 1370 1515 1570 1644 1884 2020 2055 2355 2740 3030 3140 4110 4710 6060 8220 9420 13837 15857 21509 27674 31714 41511 43018 47571 55348 63428 64527 69185 79285 83022 86036 95142 107545 129054 138370 158570 166044 190284 207555 215090 237855 258108 276740 317140 322635 415110 430180 475710 645270 830220 951420 1290540 2172409 4344818 6517227 8689636 10862045 13034454 21724090 26068908 32586135 43448180 65172270 130344540