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10055682 = 2327213877
BaseRepresentation
bin100110010111…
…000000000010
3200220212210200
4212113000002
510033240212
6555310030
7151320600
oct46270002
920825720
1010055682
115748a8a
12344b316
132111010
14149a870
15d396dc
hex997002

10055682 has 72 divisors (see below), whose sum is σ = 27325116. Its totient is φ = 2649024.

The previous prime is 10055651. The next prime is 10055711. The reversal of 10055682 is 28655001.

10055682 is a `hidden beast` number, since 100 + 556 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10055241 + 441 = 3171^2 + 21^2 .

It is a super-2 number, since 2×100556822 = 202233480970248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11028 + ... + 11904.

Almost surely, 210055682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662558).

10055682 is an abundant number, since it is smaller than the sum of its proper divisors (17269434).

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

10055682 is a wasteful number, since it uses less digits than its factorization.

10055682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10055682 is about 3171.0695356614. The cubic root of 10055682 is about 215.8426065328.

The spelling of 10055682 in words is "ten million, fifty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 877 882 1274 1638 1754 1911 2631 3822 5262 5733 6139 7893 11401 11466 12278 15786 18417 22802 34203 36834 42973 55251 68406 79807 85946 102609 110502 128919 159614 205218 239421 257838 386757 478842 558649 718263 773514 1117298 1436526 1675947 3351894 5027841 10055682