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10668024 = 2334101163
BaseRepresentation
bin101000101100…
…011111111000
3202001222210000
4220230133320
510212334044
61020353000
7156451053
oct50543770
922058700
1010668024
116027054
1236a5760
132296953
1415b9a9a
15e0ad69
hexa2c7f8

10668024 has 80 divisors (see below), whose sum is σ = 30361320. Its totient is φ = 3499200.

The previous prime is 10668023. The next prime is 10668037. The reversal of 10668024 is 42086601.

It is a super-2 number, since 2×106680242 = 227613472129152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65367 + ... + 65529.

Almost surely, 210668024 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 10668024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180660).

10668024 is an abundant number, since it is smaller than the sum of its proper divisors (19693296).

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

10668024 is a wasteful number, since it uses less digits than its factorization.

10668024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10668024 is about 3266.1941154806. The cubic root of 10668024 is about 220.1378199801.

The spelling of 10668024 in words is "ten million, six hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 163 202 216 303 324 326 404 489 606 648 652 808 909 978 1212 1304 1467 1818 1956 2424 2727 2934 3636 3912 4401 5454 5868 7272 8181 8802 10908 11736 13203 16362 16463 17604 21816 26406 32724 32926 35208 49389 52812 65448 65852 98778 105624 131704 148167 197556 296334 395112 444501 592668 889002 1185336 1333503 1778004 2667006 3556008 5334012 10668024