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10065264 = 2431121733
BaseRepresentation
bin100110011001…
…010101110000
3200221100221120
4212121111300
510034042024
6555422240
7151360536
oct46312560
920840846
1010065264
115755200
123454980
1321154a1
1414a0156
15d3c479
hex999570

10065264 has 60 divisors (see below), whose sum is σ = 28597128. Its totient is φ = 3048320.

The previous prime is 10065259. The next prime is 10065271. The reversal of 10065264 is 46256001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4942 + ... + 6674.

Almost surely, 210065264 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 10065264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14298564).

10065264 is an abundant number, since it is smaller than the sum of its proper divisors (18531864).

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

10065264 is a wasteful number, since it uses less digits than its factorization.

10065264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10065264 is about 3172.5800226314. The cubic root of 10065264 is about 215.9111431498.

The spelling of 10065264 in words is "ten million, sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1733 1936 2904 3466 5199 5808 6932 10398 13864 19063 20796 27728 38126 41592 57189 76252 83184 114378 152504 209693 228756 305008 419386 457512 629079 838772 915024 1258158 1677544 2516316 3355088 5032632 10065264