Search a number
-
+
10287431 = 7111729271
BaseRepresentation
bin100111001111…
…100101000111
3201100122200222
4213033211013
510113144211
61004254555
7153304340
oct47174507
921318628
1010287431
115897110
12354145b
13219264b
14151b0c7
15d831db
hex9cf947

10287431 has 32 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 7257600.

The previous prime is 10287401. The next prime is 10287439. The reversal of 10287431 is 13478201.

It is not a de Polignac number, because 10287431 - 218 = 10025287 is a prime.

It is a super-2 number, since 2×102874312 = 211662473159522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10287431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287439) 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, 37826 + ... + 38096.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 210287431 is an apocalyptic number.

10287431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10287431 is a deficient number, since it is larger than the sum of its proper divisors (3813049).

10287431 is a wasteful number, since it uses less digits than its factorization.

10287431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10287431 is about 3207.4025316446. The cubic root of 10287431 is about 217.4881730478.

The spelling of 10287431 in words is "ten million, two hundred eighty-seven thousand, four hundred thirty-one".

Divisors: 1 7 11 17 29 77 119 187 203 271 319 493 1309 1897 2233 2981 3451 4607 5423 7859 20867 32249 37961 50677 55013 86449 133603 354739 605143 935221 1469633 10287431