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20066046 = 23711132257
BaseRepresentation
bin100110010001…
…0111011111110
31101202110102220
41030202323332
520114103141
61554030210
7332362410
oct114427376
941673386
1020066046
1110365a10
126878366
134207500
1429449b0
151b65766
hex1322efe

20066046 has 96 divisors (see below), whose sum is σ = 54390528. Its totient is φ = 4792320.

The previous prime is 20066041. The next prime is 20066047. The reversal of 20066046 is 64066002.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20066041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77950 + ... + 78206.

It is an arithmetic number, because the mean of its divisors is an integer number (566568).

Almost surely, 220066046 is an apocalyptic number.

20066046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20066046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27195264).

20066046 is an abundant number, since it is smaller than the sum of its proper divisors (34324482).

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

20066046 is a wasteful number, since it uses less digits than its factorization.

20066046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20066046 is about 4479.5140361428. The cubic root of 20066046 is about 271.7402274022.

The spelling of 20066046 in words is "twenty million, sixty-six thousand, forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 257 273 286 338 429 462 507 514 546 771 858 1001 1014 1183 1542 1799 1859 2002 2366 2827 3003 3341 3549 3598 3718 5397 5577 5654 6006 6682 7098 8481 10023 10794 11154 13013 16962 19789 20046 23387 26026 36751 39039 39578 43433 46774 59367 70161 73502 78078 86866 110253 118734 130299 140322 220506 257257 260598 304031 477763 514514 608062 771771 912093 955526 1433289 1543542 1824186 2866578 3344341 6688682 10033023 20066046