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20426016 = 2531321259
BaseRepresentation
bin100110111101…
…0110100100000
31102102202020010
41031322310200
520212113031
62005444520
7335422032
oct115726440
942382203
1020426016
1110591406
126a10740
134302300
1429d9c52
151bd7246
hex137ad20

20426016 has 72 divisors (see below), whose sum is σ = 58106160. Its totient is φ = 6279936.

The previous prime is 20426009. The next prime is 20426017. The reversal of 20426016 is 61062402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20425983 and 20426001.

It is not an unprimeable number, because it can be changed into a prime (20426017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15595 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (807030).

Almost surely, 220426016 is an apocalyptic number.

20426016 is a gapful number since it is divisible by the number (26) 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 20426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29053080).

20426016 is an abundant number, since it is smaller than the sum of its proper divisors (37680144).

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

20426016 is a wasteful number, since it uses less digits than its factorization.

20426016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20426016 is about 4519.5150182293. The cubic root of 20426016 is about 273.3555458186.

Adding to 20426016 its reverse (61062402), we get a palindrome (81488418).

The spelling of 20426016 in words is "twenty million, four hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1259 1352 2028 2518 2704 3777 4056 5036 5408 7554 8112 10072 15108 16224 16367 20144 30216 32734 40288 49101 60432 65468 98202 120864 130936 196404 212771 261872 392808 425542 523744 638313 785616 851084 1276626 1571232 1702168 2553252 3404336 5106504 6808672 10213008 20426016