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20971746 = 23241157181
BaseRepresentation
bin101000000000…
…0000011100010
31110110110211100
41100000003202
520332043441
62025255230
7343154055
oct120000342
943413740
1020971746
1110924424
127034516
134463823
142adca9c
151c93cb6
hex14000e2

20971746 has 48 divisors (see below), whose sum is σ = 47102328. Its totient is φ = 6739200.

The previous prime is 20971733. The next prime is 20971751. The reversal of 20971746 is 64717902.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3956121 + 17015625 = 1989^2 + 4125^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 20971746.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115776 + ... + 115956.

Almost surely, 220971746 is an apocalyptic number.

20971746 is an abundant number, since it is smaller than the sum of its proper divisors (26130582).

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

20971746 is a wasteful number, since it uses less digits than its factorization.

20971746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 20971746 is about 4579.4918932126. The cubic root of 20971746 is about 275.7686309257.

The spelling of 20971746 in words is "twenty million, nine hundred seventy-one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 41 82 123 157 181 246 314 362 369 471 543 738 942 1086 1413 1629 2826 3258 6437 7421 12874 14842 19311 22263 28417 38622 44526 56834 57933 66789 85251 115866 133578 170502 255753 511506 1165097 2330194 3495291 6990582 10485873 20971746