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130140150 = 23527413023
BaseRepresentation
bin1111100000111…
…00011111110110
3100001212210201120
413300130133312
5231303441100
620525204410
73140113230
oct760343766
9301783646
10130140150
1167508248
1237700706
1320c6750a
14133d9250
15b65a0a0
hex7c1c7f6

130140150 has 96 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 29011200.

The previous prime is 130140149. The next prime is 130140203. The reversal of 130140150 is 51041031.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41539 + ... + 44561.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2130140150 is an apocalyptic number.

130140150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130140150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

130140150 is an abundant number, since it is smaller than the sum of its proper divisors (247835658).

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

130140150 is a wasteful number, since it uses less digits than its factorization.

130140150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3081 counting only the distinct ones).

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

The square root of 130140150 is about 11407.8985794931. The cubic root of 130140150 is about 506.7616804922.

Adding to 130140150 its reverse (51041031), we get a palindrome (181181181).

The spelling of 130140150 in words is "one hundred thirty million, one hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1230 1435 1722 2050 2870 3023 3075 4305 6046 6150 7175 8610 9069 14350 15115 18138 21161 21525 30230 42322 43050 45345 63483 75575 90690 105805 123943 126966 151150 211610 226725 247886 317415 371829 453450 529025 619715 634830 743658 867601 1058050 1239430 1587075 1735202 1859145 2602803 3098575 3174150 3718290 4338005 5205606 6197150 8676010 9295725 13014015 18591450 21690025 26028030 43380050 65070075 130140150