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130724286 = 23711229887
BaseRepresentation
bin1111100101010…
…11000110111110
3100002222111000020
413302223012332
5231431134121
620545513010
73145065240
oct762530676
9302874006
10130724286
1167877100
1237942766
1321110364
141350c090
15b7231c6
hex7cab1be

130724286 has 96 divisors (see below), whose sum is σ = 340139520. Its totient is φ = 32746560.

The previous prime is 130724273. The next prime is 130724287. The reversal of 130724286 is 682427031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130724287) 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 47 ways as a sum of consecutive naturals, for example, 146935 + ... + 147821.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2130724286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130724286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

130724286 is an abundant number, since it is smaller than the sum of its proper divisors (209415234).

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

130724286 is a wasteful number, since it uses less digits than its factorization.

130724286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 130724286 is about 11433.4721760277. The cubic root of 130724286 is about 507.5187513597.

The spelling of 130724286 in words is "one hundred thirty million, seven hundred twenty-four thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 121 154 174 203 231 242 319 363 406 462 609 638 726 847 887 957 1218 1694 1774 1914 2233 2541 2661 3509 4466 5082 5322 6209 6699 7018 9757 10527 12418 13398 18627 19514 21054 24563 25723 29271 37254 49126 51446 58542 68299 73689 77169 107327 136598 147378 154338 180061 204897 214654 282953 321981 360122 409794 540183 565906 643962 751289 848859 1080366 1502578 1697718 1980671 2253867 3112483 3961342 4507734 5942013 6224966 9337449 11884026 18674898 21787381 43574762 65362143 130724286