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10271440 = 245128393
BaseRepresentation
bin100111001011…
…101011010000
3201022211202201
4213023223100
510112141230
61004052544
7153206614
oct47135320
921284681
1010271440
1158860a3
123534154
13218829a
141515344
15d7d5ca
hex9cbad0

10271440 has 20 divisors (see below), whose sum is σ = 23881284. Its totient is φ = 4108544.

The previous prime is 10271389. The next prime is 10271441. The reversal of 10271440 is 4417201.

10271440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 3779136 = 2548^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64117 + ... + 64276.

Almost surely, 210271440 is an apocalyptic number.

10271440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10271440 is an abundant number, since it is smaller than the sum of its proper divisors (13609844).

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

10271440 is a wasteful number, since it uses less digits than its factorization.

10271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128406 (or 128400 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 10271440 is about 3204.9087350500. The cubic root of 10271440 is about 217.3754252054.

Adding to 10271440 its reverse (4417201), we get a palindrome (14688641).

The spelling of 10271440 in words is "ten million, two hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128393 256786 513572 641965 1027144 1283930 2054288 2567860 5135720 10271440