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10439264 = 251147631
BaseRepresentation
bin100111110100…
…101001100000
3201122100222102
4213310221200
510133024024
61011425532
7154506113
oct47645140
921570872
1010439264
1159901a0
1235b52a8
1322167a4
14155a57a
15db31ae
hex9f4a60

10439264 has 48 divisors (see below), whose sum is σ = 22934016. Its totient is φ = 4636800.

The previous prime is 10439183. The next prime is 10439267. The reversal of 10439264 is 46293401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10439267) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16229 + ... + 16859.

It is an arithmetic number, because the mean of its divisors is an integer number (477792).

Almost surely, 210439264 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 10439264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467008).

10439264 is an abundant number, since it is smaller than the sum of its proper divisors (12494752).

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

10439264 is a wasteful number, since it uses less digits than its factorization.

10439264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 10439264 is about 3230.9849891326. The cubic root of 10439264 is about 218.5529268355.

The spelling of 10439264 in words is "ten million, four hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 631 752 1034 1262 1504 2068 2524 4136 5048 6941 8272 10096 13882 16544 20192 27764 29657 55528 59314 111056 118628 222112 237256 326227 474512 652454 949024 1304908 2609816 5219632 10439264