Search a number
-
+
10309905 = 3251713477
BaseRepresentation
bin100111010101…
…000100010001
3201101210112100
4213111010101
510114404110
61004551013
7153430014
oct47250421
921353470
1010309905
115901a91
123552469
13219c948
14152537b
15d89bc0
hex9d5111

10309905 has 24 divisors (see below), whose sum is σ = 18923112. Its totient is φ = 5174784.

The previous prime is 10309903. The next prime is 10309919. The reversal of 10309905 is 50990301.

It can be written as a sum of positive squares in 4 ways, for example, as 2954961 + 7354944 = 1719^2 + 2712^2 .

It is not a de Polignac number, because 10309905 - 21 = 10309903 is a prime.

It is a super-2 number, since 2×103099052 = 212588282218050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10309903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5974 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (788463).

Almost surely, 210309905 is an apocalyptic number.

10309905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10309905 is a deficient number, since it is larger than the sum of its proper divisors (8613207).

10309905 is a wasteful number, since it uses less digits than its factorization.

10309905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13505 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 10309905 is about 3210.9040782932. The cubic root of 10309905 is about 217.6464332972.

The spelling of 10309905 in words is "ten million, three hundred nine thousand, nine hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 13477 40431 67385 121293 202155 229109 606465 687327 1145545 2061981 3436635 10309905