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130715325 = 325213232967
BaseRepresentation
bin1111100101010…
…00111010111101
3100002222000201100
413302220322331
5231430342300
620545403313
73145030146
oct762507275
9302860640
10130715325
11678703a4
1237939539
1321109260
1413508acd
15b720700
hex7ca8ebd

130715325 has 144 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 58544640.

The previous prime is 130715317. The next prime is 130715359. The reversal of 130715325 is 523517031.

It is not a de Polignac number, because 130715325 - 23 = 130715317 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 1950942 + ... + 1951008.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2130715325 is an apocalyptic number.

130715325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130715325 is an abundant number, since it is smaller than the sum of its proper divisors (145516995).

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

130715325 is a wasteful number, since it uses less digits than its factorization.

130715325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 130715325 is about 11433.0802936042. The cubic root of 130715325 is about 507.5071544851.

The spelling of 130715325 in words is "one hundred thirty million, seven hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 23 25 29 39 45 65 67 69 75 87 115 117 145 195 201 207 225 261 299 325 335 345 377 435 575 585 603 667 725 871 897 975 1005 1035 1131 1305 1495 1541 1675 1725 1885 1943 2001 2175 2613 2691 2925 3015 3335 3393 4355 4485 4623 5025 5175 5655 5829 6003 6525 7475 7705 7839 8671 9425 9715 10005 13065 13455 13869 15075 16675 16965 17487 20033 21775 22425 23115 25259 26013 28275 29145 30015 38525 39195 43355 44689 48575 50025 60099 65325 67275 69345 75777 78039 84825 87435 100165 115575 126295 130065 134067 145725 150075 180297 195975 216775 223445 227331 300495 346725 378885 390195 402201 437175 500825 580957 631475 650325 670335 901485 1117225 1136655 1502475 1742871 1894425 1950975 2011005 2904785 3351675 4507425 5228613 5683275 8714355 10055025 14523925 26143065 43571775 130715325