Search a number
-
+
130110540 = 223572313469
BaseRepresentation
bin1111100000101…
…01010001001100
3100001211022002220
413300111101030
5231302014130
620524415340
73136631010
oct760252114
9301738086
10130110540
1167497a7a
12376a7550
1320c56bb1
14133cc540
15b651410
hex7c1544c

130110540 has 96 divisors (see below), whose sum is σ = 434488320. Its totient is φ = 28444416.

The previous prime is 130110493. The next prime is 130110569. The reversal of 130110540 is 45011031.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2926 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (4525920).

Almost surely, 2130110540 is an apocalyptic number.

130110540 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 130110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217244160).

130110540 is an abundant number, since it is smaller than the sum of its proper divisors (304377780).

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

130110540 is a wasteful number, since it uses less digits than its factorization.

130110540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 130110540 is about 11406.6007206354. The cubic root of 130110540 is about 506.7232441052.

Adding to 130110540 its reverse (45011031), we get a palindrome (175121571).

The spelling of 130110540 in words is "one hundred thirty million, one hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 13469 26938 40407 53876 67345 80814 94283 134690 161628 188566 202035 269380 282849 309787 377132 404070 471415 565698 619574 808140 929361 942830 1131396 1239148 1414245 1548935 1858722 1885660 2168509 2828490 3097870 3717444 4337018 4646805 5656980 6195740 6505527 8674036 9293610 10842545 13011054 18587220 21685090 26022108 32527635 43370180 65055270 130110540