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20939274 = 23217411669
BaseRepresentation
bin100111111100…
…0001000001010
31110101211021200
41033320020022
520330024044
62024445030
7342660306
oct117701012
943354250
1020939274
1110901a94
127019776
134451b05
142ad0d06
151c89369
hex13f820a

20939274 has 48 divisors (see below), whose sum is σ = 49238280. Its totient is φ = 6405120.

The previous prime is 20939267. The next prime is 20939279. The reversal of 20939274 is 47293902.

It can be written as a sum of positive squares in 4 ways, for example, as 15944049 + 4995225 = 3993^2 + 2235^2 .

It is not an unprimeable number, because it can be changed into a prime (20939279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11712 + ... + 13380.

Almost surely, 220939274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20939274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24619140).

20939274 is an abundant number, since it is smaller than the sum of its proper divisors (28299006).

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

20939274 is a wasteful number, since it uses less digits than its factorization.

20939274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20939274 is about 4575.9451482726. The cubic root of 20939274 is about 275.6262268753.

The spelling of 20939274 in words is "twenty million, nine hundred thirty-nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 1669 2091 3338 4182 5007 6273 10014 12546 15021 28373 30042 56746 68429 85119 136858 170238 205287 255357 410574 510714 615861 1163293 1231722 2326586 3489879 6979758 10469637 20939274