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10214464 = 261312277
BaseRepresentation
bin100110111101…
…110001000000
3201012221121111
4212331301000
510103330324
61002533104
7152551531
oct46756100
921187544
1010214464
115847307
123507194
132168380
1414dc688
15d6b794
hex9bdc40

10214464 has 28 divisors (see below), whose sum is σ = 21830284. Its totient is φ = 4713984.

The previous prime is 10214443. The next prime is 10214497. The reversal of 10214464 is 46441201.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 9048064 = 1080^2 + 3008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5307 + ... + 6970.

It is an arithmetic number, because the mean of its divisors is an integer number (779653).

Almost surely, 210214464 is an apocalyptic number.

It is an amenable number.

10214464 is an abundant number, since it is smaller than the sum of its proper divisors (11615820).

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

10214464 is a wasteful number, since it uses less digits than its factorization.

10214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 10214464 is about 3196.0075093779. The cubic root of 10214464 is about 216.9727502999.

Adding to 10214464 its reverse (46441201), we get a palindrome (56655665).

The spelling of 10214464 in words is "ten million, two hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12277 24554 49108 98216 159601 196432 319202 392864 638404 785728 1276808 2553616 5107232 10214464