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130237560 = 233251093319
BaseRepresentation
bin1111100001101…
…00010001111000
3100002001202100100
413300310101320
5231320100220
620531235400
73141000225
oct760642170
9302052310
10130237560
1167574452
1237748b60
1320c9c95b
141342294c
15b678d90
hex7c34478

130237560 has 96 divisors (see below), whose sum is σ = 427284000. Its totient is φ = 34401024.

The previous prime is 130237559. The next prime is 130237619. The reversal of 130237560 is 65732031.

It is a happy number.

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, 37581 + ... + 40899.

It is an arithmetic number, because the mean of its divisors is an integer number (4450875).

Almost surely, 2130237560 is an apocalyptic number.

130237560 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 130237560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213642000).

130237560 is an abundant number, since it is smaller than the sum of its proper divisors (297046440).

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

130237560 is a wasteful number, since it uses less digits than its factorization.

130237560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130237560 is about 11412.1671912043. The cubic root of 130237560 is about 506.8880861254. Note that the first 3 decimals are identical.

Adding to 130237560 its reverse (65732031), we get a palindrome (195969591).

The spelling of 130237560 in words is "one hundred thirty million, two hundred thirty-seven 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 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3319 3924 4360 4905 6540 6638 7848 9810 9957 13080 13276 16595 19620 19914 26552 29871 33190 39240 39828 49785 59742 66380 79656 99570 119484 132760 149355 199140 238968 298710 361771 398280 597420 723542 1085313 1194840 1447084 1808855 2170626 2894168 3255939 3617710 4341252 5426565 6511878 7235420 8682504 10853130 13023756 14470840 16279695 21706260 26047512 32559390 43412520 65118780 130237560