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10641984 = 263431289
BaseRepresentation
bin101000100110…
…001001000000
3202000200001120
4220212021000
510211020414
61020032240
7156312123
oct50461100
922020046
1010641984
116009531
123692680
132287b42
1415b03ba
15e032a9
hexa26240

10641984 has 56 divisors (see below), whose sum is σ = 28834080. Its totient is φ = 3462144.

The previous prime is 10641937. The next prime is 10642039. The reversal of 10641984 is 48914601.

It is a super-2 number, since 2×106419842 = 226503646912512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 7612 + ... + 8900.

Almost surely, 210641984 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 10641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417040).

10641984 is an abundant number, since it is smaller than the sum of its proper divisors (18192096).

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

10641984 is a wasteful number, since it uses less digits than its factorization.

10641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10641984 is about 3262.2053889968. The cubic root of 10641984 is about 219.9585596877.

The spelling of 10641984 in words is "ten million, six hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1289 1376 2064 2578 2752 3867 4128 5156 7734 8256 10312 15468 20624 30936 41248 55427 61872 82496 110854 123744 166281 221708 247488 332562 443416 665124 886832 1330248 1773664 2660496 3547328 5320992 10641984