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130056435 = 345537383
BaseRepresentation
bin1111100000010…
…00000011110011
3100001201112220000
413300020003303
5231243301220
620523321043
73136314165
oct760100363
9301645800
10130056435
1167460363
1237680183
1320c38392
14133b6935
15b640390
hex7c080f3

130056435 has 80 divisors (see below), whose sum is σ = 243692064. Its totient is φ = 66313728.

The previous prime is 130056431. The next prime is 130056449. The reversal of 130056435 is 534650031.

130056435 is a `hidden beast` number, since 13 + 0 + 0 + 5 + 643 + 5 = 666.

It is not a de Polignac number, because 130056435 - 22 = 130056431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130056399 and 130056408.

It is not an unprimeable number, because it can be changed into a prime (130056431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1566904 + ... + 1566986.

Almost surely, 2130056435 is an apocalyptic number.

130056435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130056435 is a deficient number, since it is larger than the sum of its proper divisors (113635629).

130056435 is an equidigital number, since it uses as much as digits as its factorization.

130056435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 130056435 is about 11404.2288209243. The cubic root of 130056435 is about 506.6529959858.

The spelling of 130056435 in words is "one hundred thirty million, fifty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 53 73 81 83 135 159 219 249 265 365 405 415 477 657 747 795 1095 1245 1431 1971 2241 2385 3285 3735 3869 4293 4399 5913 6059 6723 7155 9855 11205 11607 13197 18177 19345 21465 21995 29565 30295 33615 34821 39591 54531 58035 65985 90885 104463 118773 163593 174105 197955 272655 313389 321127 356319 490779 522315 593865 817965 963381 1566945 1605635 1781595 2453895 2890143 4816905 8670429 14450715 26011287 43352145 130056435