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20126260 = 22572111867
BaseRepresentation
bin100110011000…
…1101000110100
31101212112001001
41030301220310
520123020020
61555213044
7333033100
oct114615064
941775031
1020126260
11103a7180
1268a7184
134228a3b
14295c900
151b7850a
hex1331a34

20126260 has 72 divisors (see below), whose sum is σ = 53663904. Its totient is φ = 6269760.

The previous prime is 20126251. The next prime is 20126287. The reversal of 20126260 is 6262102.

It is a congruent number.

It is an unprimeable number.

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, 9847 + ... + 11713.

It is an arithmetic number, because the mean of its divisors is an integer number (745332).

Almost surely, 220126260 is an apocalyptic number.

20126260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26831952).

20126260 is an abundant number, since it is smaller than the sum of its proper divisors (33537644).

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

20126260 is a wasteful number, since it uses less digits than its factorization.

20126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20126260 is about 4486.2300431431. The cubic root of 20126260 is about 272.0117678011.

Adding to 20126260 its reverse (6262102), we get a palindrome (26388362).

The spelling of 20126260 in words is "twenty million, one hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 1867 2156 2695 3734 5390 7468 9335 10780 13069 18670 20537 26138 37340 41074 52276 65345 82148 91483 102685 130690 143759 182966 205370 261380 287518 365932 410740 457415 575036 718795 914830 1006313 1437590 1829660 2012626 2875180 4025252 5031565 10063130 20126260