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10451264 = 26732237
BaseRepresentation
bin100111110111…
…100101000000
3201122222102212
4213313211000
510133420024
61012001252
7154556105
oct47674500
921588385
1010451264
11599920a
123600228
13221c0a5
141560aac
15db6a0e
hex9f7940

10451264 has 28 divisors (see below), whose sum is σ = 21032724. Its totient is φ = 5151744.

The previous prime is 10451251. The next prime is 10451317. The reversal of 10451264 is 46215401.

10451264 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 7182400 + 3268864 = 2680^2 + 1808^2 .

It is a congruent number.

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, 3554 + ... + 5790.

Almost surely, 210451264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10516362).

10451264 is an abundant number, since it is smaller than the sum of its proper divisors (10581460).

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

10451264 is an equidigital number, since it uses as much as digits as its factorization.

10451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 10451264 is about 3232.8414746164. The cubic root of 10451264 is about 218.6366374257.

Adding to 10451264 its reverse (46215401), we get a palindrome (56666665).

The spelling of 10451264 in words is "ten million, four hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2237 2336 4474 4672 8948 17896 35792 71584 143168 163301 326602 653204 1306408 2612816 5225632 10451264