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20961666 = 236111307
BaseRepresentation
bin100111111110…
…1100110000010
31110102222000000
41033331212002
520331233131
62025140430
7343112505
oct117754602
943388000
1020961666
11109178a0
12702a716
13445c06b
142ad913c
151c90ce6
hex13fd982

20961666 has 56 divisors (see below), whose sum is σ = 51467184. Its totient is φ = 6347160.

The previous prime is 20961649. The next prime is 20961667. The reversal of 20961666 is 66616902.

It is a happy number.

It is a super-4 number, since 4×209616664 (a number of 30 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20961666.

It is not an unprimeable number, because it can be changed into a prime (20961667) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15385 + ... + 16691.

Almost surely, 220961666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20961666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25733592).

20961666 is an abundant number, since it is smaller than the sum of its proper divisors (30505518).

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

20961666 is a wasteful number, since it uses less digits than its factorization.

20961666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20961666 is about 4578.3912021582. The cubic root of 20961666 is about 275.7244414198.

The spelling of 20961666 in words is "twenty million, nine hundred sixty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1307 1458 1782 2614 2673 3921 5346 7842 8019 11763 14377 16038 23526 28754 35289 43131 70578 86262 105867 129393 211734 258786 317601 388179 635202 776358 952803 1164537 1905606 2329074 3493611 6987222 10480833 20961666