Search a number
-
+
10305471 = 311596779
BaseRepresentation
bin100111010011…
…111110111111
3201101120110010
4213103332333
510114233341
61004514303
7153411051
oct47237677
921346403
1010305471
1158a9720
12354b993
13219a917
1415238d1
15d88716
hex9d3fbf

10305471 has 32 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 5971680.

The previous prime is 10305461. The next prime is 10305481. The reversal of 10305471 is 17450301.

It is an interprime number because it is at equal distance from previous prime (10305461) and next prime (10305481).

It is not a de Polignac number, because 10305471 - 25 = 10305439 is a prime.

It is a super-3 number, since 3×103054713 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305431) 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, 130410 + ... + 130488.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 210305471 is an apocalyptic number.

10305471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10305471 is a deficient number, since it is larger than the sum of its proper divisors (5361729).

10305471 is a wasteful number, since it uses less digits than its factorization.

10305471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10305471 is about 3210.2135442989. The cubic root of 10305471 is about 217.6152276212.

Adding to 10305471 its reverse (17450301), we get a palindrome (27755772).

The spelling of 10305471 in words is "ten million, three hundred five thousand, four hundred seventy-one".

Divisors: 1 3 11 33 59 67 79 177 201 237 649 737 869 1947 2211 2607 3953 4661 5293 11859 13983 15879 43483 51271 58223 130449 153813 174669 312287 936861 3435157 10305471