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10414144 = 261312517
BaseRepresentation
bin100111101110…
…100001000000
3201121002112001
4213232201000
510131223034
61011113344
7154342636
oct47564100
921532461
1010414144
115973334
1235a2854
132208220
141551356
15daaa14
hex9ee840

10414144 has 28 divisors (see below), whose sum is σ = 22257004. Its totient is φ = 4806144.

The previous prime is 10414139. The next prime is 10414163. The reversal of 10414144 is 44141401.

It can be written as a sum of positive squares in 2 ways, for example, as 5953600 + 4460544 = 2440^2 + 2112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5427 + ... + 7090.

It is an arithmetic number, because the mean of its divisors is an integer number (794893).

Almost surely, 210414144 is an apocalyptic number.

It is an amenable number.

10414144 is an abundant number, since it is smaller than the sum of its proper divisors (11842860).

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

10414144 is a wasteful number, since it uses less digits than its factorization.

10414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12542 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10414144 is about 3227.0952883359. The cubic root of 10414144 is about 218.3774847421.

Adding to 10414144 its reverse (44141401), we get a palindrome (54555545).

The spelling of 10414144 in words is "ten million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12517 25034 50068 100136 162721 200272 325442 400544 650884 801088 1301768 2603536 5207072 10414144