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20426624 = 27533011
BaseRepresentation
bin100110111101…
…0111110000000
31102102210001122
41031322332000
520212122444
62005451412
7335423561
oct115727600
942383048
1020426624
1110591909
126a10b68
13430267a
1429da168
151bd74ee
hex137af80

20426624 has 32 divisors (see below), whose sum is σ = 41475240. Its totient is φ = 10017280.

The previous prime is 20426611. The next prime is 20426633. The reversal of 20426624 is 42662402.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20426593 and 20426602.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5279 + ... + 8289.

Almost surely, 220426624 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 20426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737620).

20426624 is an abundant number, since it is smaller than the sum of its proper divisors (21048616).

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

20426624 is an equidigital number, since it uses as much as digits as its factorization.

20426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 20426624 is about 4519.5822815831. The cubic root of 20426624 is about 273.3582580219.

The spelling of 20426624 in words is "twenty million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3011 3392 6022 6784 12044 24088 48176 96352 159583 192704 319166 385408 638332 1276664 2553328 5106656 10213312 20426624