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23066010 = 232511231013
BaseRepresentation
bin101011111111…
…1010110011010
31121101212121200
41113333112122
521401103020
62142215030
7400025562
oct127772632
947355550
1023066010
1112024920
127884476
134a17b36
1430c5da2
152059590
hex15ff59a

23066010 has 96 divisors (see below), whose sum is σ = 68335488. Its totient is φ = 5343360.

The previous prime is 23066003. The next prime is 23066011. The reversal of 23066010 is 1066032.

It is a happy number.

23066010 is a `hidden beast` number, since 2 + 3 + 0 + 660 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23066011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22264 + ... + 23276.

It is an arithmetic number, because the mean of its divisors is an integer number (711828).

Almost surely, 223066010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23066010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34167744).

23066010 is an abundant number, since it is smaller than the sum of its proper divisors (45269478).

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

23066010 is a wasteful number, since it uses less digits than its factorization.

23066010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23066010 is about 4802.7086107737. The cubic root of 23066010 is about 284.6585013999.

The spelling of 23066010 in words is "twenty-three million, sixty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1013 1035 1265 1518 2026 2070 2277 2530 3039 3795 4554 5065 6078 7590 9117 10130 11143 11385 15195 18234 22286 22770 23299 30390 33429 45585 46598 55715 66858 69897 91170 100287 111430 116495 139794 167145 200574 209691 232990 256289 334290 349485 419382 501435 512578 698970 768867 1002870 1048455 1281445 1537734 2096910 2306601 2562890 3844335 4613202 7688670 11533005 23066010