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130741065 = 32572134561
BaseRepresentation
bin1111100101011…
…11001101001001
3100010000100000200
413302233031021
5231432203230
620550122413
73145165200
oct762571511
9303010020
10130741065
1167888774
1237950409
1321117ba0
1413514237
15b728160
hex7caf349

130741065 has 72 divisors (see below), whose sum is σ = 283957128. Its totient is φ = 55157760.

The previous prime is 130741021. The next prime is 130741069. The reversal of 130741065 is 560147031.

It can be written as a sum of positive squares in 4 ways, for example, as 233289 + 130507776 = 483^2 + 11424^2 .

It is not a de Polignac number, because 130741065 - 29 = 130740553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130741069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26385 + ... + 30945.

It is an arithmetic number, because the mean of its divisors is an integer number (3943849).

Almost surely, 2130741065 is an apocalyptic number.

130741065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130741065 is an abundant number, since it is smaller than the sum of its proper divisors (153216063).

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

130741065 is a wasteful number, since it uses less digits than its factorization.

130741065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4589 counting only the distinct ones).

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

The square root of 130741065 is about 11434.2059190833. The cubic root of 130741065 is about 507.5404644707.

Adding to 130741065 its reverse (560147031), we get a palindrome (690888096).

The spelling of 130741065 in words is "one hundred thirty million, seven hundred forty-one thousand, sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 4561 5733 9555 13683 22805 28665 31927 41049 59293 68415 95781 159635 177879 205245 223489 287343 296465 415051 478905 533637 670467 889395 1117445 1245153 1436715 2011401 2075255 2668185 2905357 3352335 3735459 6225765 8716071 10057005 14526785 18677295 26148213 43580355 130741065