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20126656 = 2611223113
BaseRepresentation
bin100110011000…
…1101111000000
31101212112120201
41030301233000
520123023111
61555214544
7333034204
oct114615700
941775521
1020126656
11103a7500
1268a7454
134228c84
14295cb04
151b786c1
hex1331bc0

20126656 has 84 divisors (see below), whose sum is σ = 46213776. Its totient is φ = 8673280.

The previous prime is 20126597. The next prime is 20126663. The reversal of 20126656 is 65662102.

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 11 ways as a sum of consecutive naturals, for example, 178056 + ... + 178168.

It is an arithmetic number, because the mean of its divisors is an integer number (550164).

Almost surely, 220126656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106888).

20126656 is an abundant number, since it is smaller than the sum of its proper divisors (26087120).

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

20126656 is a wasteful number, since it uses less digits than its factorization.

20126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 20126656 is about 4486.2741779789. The cubic root of 20126656 is about 272.0135518046.

Adding to 20126656 its reverse (65662102), we get a palindrome (85788758).

It can be divided in two parts, 2012 and 6656, that added together give a palindrome (8668).

The spelling of 20126656 in words is "twenty million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 113 121 176 184 226 242 253 352 368 452 484 506 704 736 904 968 1012 1243 1472 1808 1936 2024 2486 2599 2783 3616 3872 4048 4972 5198 5566 7232 7744 8096 9944 10396 11132 13673 16192 19888 20792 22264 27346 28589 39776 41584 44528 54692 57178 79552 83168 89056 109384 114356 166336 178112 218768 228712 314479 437536 457424 628958 875072 914848 1257916 1829696 2515832 5031664 10063328 20126656