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20266290 = 23251121861
BaseRepresentation
bin100110101001…
…1110100110010
31102010122010100
41031103310302
520142010130
62002213230
7334155252
oct115236462
942118110
1020266290
1110492400
126954216
1342776b5
142997962
151ba4c60
hex1353d32

20266290 has 72 divisors (see below), whose sum is σ = 57949164. Its totient is φ = 4910400.

The previous prime is 20266283. The next prime is 20266297. The reversal of 20266290 is 9266202.

It is an interprime number because it is at equal distance from previous prime (20266283) and next prime (20266297).

It can be written as a sum of positive squares in 2 ways, for example, as 16475481 + 3790809 = 4059^2 + 1947^2 .

It is not an unprimeable number, because it can be changed into a prime (20266297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9960 + ... + 11820.

Almost surely, 220266290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20266290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974582).

20266290 is an abundant number, since it is smaller than the sum of its proper divisors (37682874).

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

20266290 is a wasteful number, since it uses less digits than its factorization.

20266290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20266290 is about 4501.8096361352. The cubic root of 20266290 is about 272.6411579633.

The spelling of 20266290 in words is "twenty million, two hundred sixty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 1861 2178 3630 3722 5445 5583 9305 10890 11166 16749 18610 20471 27915 33498 40942 55830 61413 83745 102355 122826 167490 184239 204710 225181 307065 368478 450362 614130 675543 921195 1125905 1351086 1842390 2026629 2251810 3377715 4053258 6755430 10133145 20266290