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20355966 = 2322349169
BaseRepresentation
bin100110110100…
…1101101111110
31102022012010200
41031221231332
520202342331
62004144330
7335010561
oct115515576
942265120
1020355966
1110543814
1269980a6
1342a9467
1429bc4d8
151bc15e6
hex1369b7e

20355966 has 24 divisors (see below), whose sum is σ = 46023120. Its totient is φ = 6490176.

The previous prime is 20355961. The next prime is 20356013. The reversal of 20355966 is 66955302.

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 20355966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20355961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24171 + ... + 24998.

It is an arithmetic number, because the mean of its divisors is an integer number (1917630).

Almost surely, 220355966 is an apocalyptic number.

20355966 is an abundant number, since it is smaller than the sum of its proper divisors (25667154).

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

20355966 is a wasteful number, since it uses less digits than its factorization.

20355966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49200 (or 49197 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 20355966 is about 4511.7586371613. The cubic root of 20355966 is about 273.0427015280.

It can be divided in two parts, 20355 and 966, that added together give a triangular number (21321 = T206).

The spelling of 20355966 in words is "twenty million, three hundred fifty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 49169 98338 147507 295014 442521 885042 1130887 2261774 3392661 6785322 10177983 20355966