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5306301 = 32711131931
BaseRepresentation
bin10100001111011110111101
3100222120212200
4110033132331
52324300201
6305422113
763050160
oct24173675
910876780
105306301
112aa4780
12193a939
13113a330
149c1ad7
156ec386
hex50f7bd

5306301 has 96 divisors (see below), whose sum is σ = 11182080. Its totient is φ = 2332800.

The previous prime is 5306293. The next prime is 5306309. The reversal of 5306301 is 1036035.

5306301 is a `hidden beast` number, since 5 + 30 + 630 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (5306293) and next prime (5306309).

It is not a de Polignac number, because 5306301 - 23 = 5306293 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306309) 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, 171156 + ... + 171186.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 25306301 is an apocalyptic number.

5306301 is the 1881-st pentagonal number.

It is an amenable number.

5306301 is an abundant number, since it is smaller than the sum of its proper divisors (5875779).

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

5306301 is a wasteful number, since it uses less digits than its factorization.

5306301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5306301 is about 2303.5409698983. The cubic root of 5306301 is about 174.4204063355.

The spelling of 5306301 in words is "five million, three hundred six thousand, three hundred one".

Divisors: 1 3 7 9 11 13 19 21 31 33 39 57 63 77 91 93 99 117 133 143 171 209 217 231 247 273 279 341 399 403 429 589 627 651 693 741 819 1001 1023 1197 1209 1287 1463 1729 1767 1881 1953 2223 2387 2717 2821 3003 3069 3627 4123 4389 4433 5187 5301 6479 7161 7657 8151 8463 9009 12369 13167 13299 15561 19019 19437 21483 22971 24453 25389 31031 37107 39897 45353 53599 57057 58311 68913 84227 93093 136059 160797 171171 252681 279279 408177 482391 589589 758043 1768767 5306301