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130742535 = 357211103157
BaseRepresentation
bin1111100101011…
…11100100000111
3100010000102001010
413302233210013
5231432230120
620550133303
73145202400
oct762574407
9303012033
10130742535
1167889890
1237951233
1321118761
14135149a7
15b7287e0
hex7caf907

130742535 has 96 divisors (see below), whose sum is σ = 269747712. Its totient is φ = 53464320.

The previous prime is 130742533. The next prime is 130742537. The reversal of 130742535 is 535247031.

130742535 is a nontrivial binomial coefficient, being equal to C(16171, 2).

It is an interprime number because it is at equal distance from previous prime (130742533) and next prime (130742537).

It is not a de Polignac number, because 130742535 - 21 = 130742533 is a prime.

It is a super-2 number, since 2×1307425352 = 34187220916452450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130742533) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832677 + ... + 832833.

It is an arithmetic number, because the mean of its divisors is an integer number (2809872).

Almost surely, 2130742535 is an apocalyptic number.

130742535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130742535 is the 16170-th triangular number.

130742535 is an abundant number, since it is smaller than the sum of its proper divisors (139005177).

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

130742535 is a wasteful number, since it uses less digits than its factorization.

130742535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 130742535 is about 11434.2701997110. The cubic root of 130742535 is about 507.5423666573.

Adding to 130742535 its reverse (535247031), we get a palindrome (665989566).

The spelling of 130742535 in words is "one hundred thirty million, seven hundred forty-two thousand, five hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 103 105 147 157 165 231 245 309 385 471 515 539 721 735 785 1099 1133 1155 1545 1617 1727 2163 2355 2695 3297 3399 3605 5047 5181 5495 5665 7693 7931 8085 8635 10815 12089 15141 16171 16485 16995 23079 23793 25235 25905 36267 38465 39655 48513 55517 60445 75705 80855 84623 113197 115395 118965 166551 177881 181335 242565 253869 277585 339591 423115 533643 565985 792379 832755 889405 1245167 1269345 1697955 2377137 2668215 3735501 3961895 6225835 8716169 11885685 18677505 26148507 43580845 130742535