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10667264 = 2841669
BaseRepresentation
bin101000101100…
…010100000000
3202001221201212
4220230110000
510212323024
61020345252
7156445616
oct50542400
922057655
1010667264
116026523
1236a5228
1322964ba
1415b96b6
15e0aa0e
hexa2c500

10667264 has 18 divisors (see below), whose sum is σ = 21293370. Its totient is φ = 5333504.

The previous prime is 10667221. The next prime is 10667269. The reversal of 10667264 is 46276601.

10667264 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 7398400 + 3268864 = 2720^2 + 1808^2 .

It is a super-2 number, since 2×106672642 = 227581042491392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10667264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20579 + ... + 21090.

It is an arithmetic number, because the mean of its divisors is an integer number (1182965).

Almost surely, 210667264 is an apocalyptic number.

It is an amenable number.

10667264 is a deficient number, since it is larger than the sum of its proper divisors (10626106).

10667264 is an frugal number, since it uses more digits than its factorization.

10667264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41685 (or 41671 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 10667264 is about 3266.0777700477. The cubic root of 10667264 is about 220.1325922480.

The spelling of 10667264 in words is "ten million, six hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 41669 83338 166676 333352 666704 1333408 2666816 5333632 10667264