Search a number
-
+
5306931 = 33743653
BaseRepresentation
bin10100001111101000110011
3100222121202000
4110033220303
52324310211
6305425043
763052050
oct24175063
910877660
105306931
112aa51a3
12193b183
13113a6c6
149c2027
156ec656
hex50fa33

5306931 has 32 divisors (see below), whose sum is σ = 9208320. Its totient is φ = 2957472.

The previous prime is 5306929. The next prime is 5306953. The reversal of 5306931 is 1396035.

5306931 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5306931 - 21 = 5306929 is a prime.

It is a super-2 number, since 2×53069312 = 56327033277522, which contains 22 as substring.

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

5306931 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5306895 and 5306904.

It is not an unprimeable number, because it can be changed into a prime (5306131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7801 + ... + 8453.

It is an arithmetic number, because the mean of its divisors is an integer number (287760).

Almost surely, 25306931 is an apocalyptic number.

5306931 is a deficient number, since it is larger than the sum of its proper divisors (3901389).

5306931 is a wasteful number, since it uses less digits than its factorization.

5306931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5306931 is about 2303.6777118338. The cubic root of 5306931 is about 174.4273088531.

It can be divided in two parts, 5 and 306931, that added together give a triangular number (306936 = T783).

The spelling of 5306931 in words is "five million, three hundred six thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 653 903 1161 1959 2709 4571 5877 8127 13713 17631 28079 41139 84237 123417 196553 252711 589659 758133 1768977 5306931