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130117140 = 223254316811
BaseRepresentation
bin1111100000101…
…10111000010100
3100001211122011100
413300112320110
5231302222030
620524510100
73136656156
oct760267024
9301748140
10130117140
11674a1a2a
12376ab330
1320c59bba
14133d0ad6
15b653360
hex7c16e14

130117140 has 72 divisors (see below), whose sum is σ = 403891488. Its totient is φ = 33888960.

The previous prime is 130117079. The next prime is 130117157. The reversal of 130117140 is 41711031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666 + ... + 16145.

It is an arithmetic number, because the mean of its divisors is an integer number (5609604).

Almost surely, 2130117140 is an apocalyptic number.

130117140 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 130117140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201945744).

130117140 is an abundant number, since it is smaller than the sum of its proper divisors (273774348).

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

130117140 is a wasteful number, since it uses less digits than its factorization.

130117140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869 (or 16864 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 130117140 is about 11406.8900231395. The cubic root of 130117140 is about 506.7318119913.

Adding to 130117140 its reverse (41711031), we get a palindrome (171828171).

The spelling of 130117140 in words is "one hundred thirty million, one hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 16811 33622 50433 67244 84055 100866 151299 168110 201732 252165 302598 336220 504330 605196 722873 756495 1008660 1445746 1512990 2168619 2891492 3025980 3614365 4337238 6505857 7228730 8674476 10843095 13011714 14457460 21686190 26023428 32529285 43372380 65058570 130117140