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20814426 = 23217251271
BaseRepresentation
bin100111101100…
…1101001011010
31110011111000200
41033121221122
520312030201
62022043030
7341630313
oct117315132
943144020
1020814426
1110827206
126b79476
13440a039
142a9b60a
151c62386
hex13d9a5a

20814426 has 48 divisors (see below), whose sum is σ = 48117888. Its totient is φ = 6480000.

The previous prime is 20814403. The next prime is 20814439. The reversal of 20814426 is 62441802.

It is a self number, because there is not a number n which added to its sum of digits gives 20814426.

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, 76671 + ... + 76941.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 220814426 is an apocalyptic number.

20814426 is the 2439-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20814426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

20814426 is an abundant number, since it is smaller than the sum of its proper divisors (27303462).

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

20814426 is a wasteful number, since it uses less digits than its factorization.

20814426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20814426 is about 4562.2829811400. The cubic root of 20814426 is about 275.0773380279.

The spelling of 20814426 in words is "twenty million, eight hundred fourteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 251 271 306 502 542 753 813 1506 1626 2259 2439 4267 4518 4607 4878 8534 9214 12801 13821 25602 27642 38403 41463 68021 76806 82926 136042 204063 408126 612189 1156357 1224378 2312714 3469071 6938142 10407213 20814426