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130003560 = 233253311091
BaseRepresentation
bin1111011111110…
…11001001101000
3100001121212100200
413233323021220
5231240103220
620522232200
73136004061
oct757731150
9301555320
10130003560
1167424665
1237655660
1320c1a2ab
14133a1568
15b62e890
hex7bfb268

130003560 has 96 divisors (see below), whose sum is σ = 424176480. Its totient is φ = 34531200.

The previous prime is 130003519. The next prime is 130003561. The reversal of 130003560 is 65300031.

It is a super-2 number, since 2×1300035602 = 33801851225347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130003561) by changing a digit.

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, 118615 + ... + 119705.

It is an arithmetic number, because the mean of its divisors is an integer number (4418505).

Almost surely, 2130003560 is an apocalyptic number.

130003560 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 130003560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212088240).

130003560 is an abundant number, since it is smaller than the sum of its proper divisors (294172920).

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

130003560 is a wasteful number, since it uses less digits than its factorization.

130003560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130003560 is about 11401.9103662500. The cubic root of 130003560 is about 506.5843260313.

Adding to 130003560 its reverse (65300031), we get a palindrome (195303591).

The spelling of 130003560 in words is "one hundred thirty million, three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 331 360 662 993 1091 1324 1655 1986 2182 2648 2979 3273 3310 3972 4364 4965 5455 5958 6546 6620 7944 8728 9819 9930 10910 11916 13092 13240 14895 16365 19638 19860 21820 23832 26184 29790 32730 39276 39720 43640 49095 59580 65460 78552 98190 119160 130920 196380 361121 392760 722242 1083363 1444484 1805605 2166726 2888968 3250089 3611210 4333452 5416815 6500178 7222420 8666904 10833630 13000356 14444840 16250445 21667260 26000712 32500890 43334520 65001780 130003560