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20966994 = 23219101607
BaseRepresentation
bin100111111111…
…0111001010010
31110110020022100
41033332321102
520331420434
62025221230
7343134156
oct117767122
943406270
1020966994
11109208a4
127031816
134461609
142adb066
151c92699
hex13fee52

20966994 has 48 divisors (see below), whose sum is σ = 48372480. Its totient is φ = 6544800.

The previous prime is 20966993. The next prime is 20967041. The reversal of 20966994 is 49966902.

It is a super-2 number, since 2×209669942 = 879229674792072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20966993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34239 + ... + 34845.

It is an arithmetic number, because the mean of its divisors is an integer number (1007760).

Almost surely, 220966994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20966994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24186240).

20966994 is an abundant number, since it is smaller than the sum of its proper divisors (27405486).

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

20966994 is a wasteful number, since it uses less digits than its factorization.

20966994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 20966994 is about 4578.9730289662. The cubic root of 20966994 is about 275.7478004946.

The spelling of 20966994 in words is "twenty million, nine hundred sixty-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 607 909 1214 1818 1821 1919 3642 3838 5463 5757 10926 11514 11533 17271 23066 34542 34599 61307 69198 103797 122614 183921 207594 367842 551763 1103526 1164833 2329666 3494499 6988998 10483497 20966994