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130125276 = 2232171491427
BaseRepresentation
bin1111100000110…
…00110111011100
3100001212001022200
413300120313130
5231303002101
620525011500
73140021661
oct760306734
9301761280
10130125276
11674a8056
12376b3b90
1320c60808
14133d3a68
15b655986
hex7c18ddc

130125276 has 72 divisors (see below), whose sum is σ = 350859600. Its totient is φ = 40521216.

The previous prime is 130125271. The next prime is 130125277. The reversal of 130125276 is 672521031.

It is a happy number.

130125276 is a `hidden beast` number, since 130 + 1 + 2 + 527 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130125271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90475 + ... + 91901.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2130125276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130125276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

130125276 is an abundant number, since it is smaller than the sum of its proper divisors (220734324).

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

130125276 is a wasteful number, since it uses less digits than its factorization.

130125276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130125276 is about 11407.2466441293. The cubic root of 130125276 is about 506.7423734595.

The spelling of 130125276 in words is "one hundred thirty million, one hundred twenty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 298 306 447 596 612 894 1341 1427 1788 2533 2682 2854 4281 5066 5364 5708 7599 8562 10132 12843 15198 17124 22797 24259 25686 30396 45594 48518 51372 72777 91188 97036 145554 212623 218331 291108 425246 436662 637869 850492 873324 1275738 1913607 2551476 3614591 3827214 7229182 7654428 10843773 14458364 21687546 32531319 43375092 65062638 130125276