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10066944 = 210329113
BaseRepresentation
bin100110011001…
…110000000000
3200221110020210
4212121300000
510034120234
6555434120
7151365456
oct46316000
920843223
1010066944
115756498
123455940
132116194
1414a09d6
15d3cbe9
hex999c00

10066944 has 88 divisors (see below), whose sum is σ = 28002960. Its totient is φ = 3211264.

The previous prime is 10066933. The next prime is 10066949. The reversal of 10066944 is 44966001.

It is a super-2 number, since 2×100669442 = 202686722998272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89032 + ... + 89144.

Almost surely, 210066944 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 10066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001480).

10066944 is an abundant number, since it is smaller than the sum of its proper divisors (17936016).

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

10066944 is a wasteful number, since it uses less digits than its factorization.

10066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10066944 is about 3172.8447803194. The cubic root of 10066944 is about 215.9231551063.

The spelling of 10066944 in words is "ten million, sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 113 116 128 174 192 226 232 256 339 348 384 452 464 512 678 696 768 904 928 1024 1356 1392 1536 1808 1856 2712 2784 3072 3277 3616 3712 5424 5568 6554 7232 7424 9831 10848 11136 13108 14464 14848 19662 21696 22272 26216 28928 29696 39324 43392 44544 52432 57856 78648 86784 89088 104864 115712 157296 173568 209728 314592 347136 419456 629184 838912 1258368 1677824 2516736 3355648 5033472 10066944