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20420816 = 2413313167
BaseRepresentation
bin100110111100…
…1100011010000
31102102111002112
41031321203100
520211431231
62005404452
7335400623
oct115714320
942374075
1020420816
1110588509
126a09728
1342ccb30
1429d7dba
151bd592b
hex13798d0

20420816 has 40 divisors (see below), whose sum is σ = 43997184. Its totient is φ = 9118080.

The previous prime is 20420773. The next prime is 20420821. The reversal of 20420816 is 61802402.

It is a super-2 number, since 2×204208162 = 834019452211712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20420791 and 20420800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4865 + ... + 8031.

Almost surely, 220420816 is an apocalyptic number.

20420816 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 20420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592).

20420816 is an abundant number, since it is smaller than the sum of its proper divisors (23576368).

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

20420816 is a wasteful number, since it uses less digits than its factorization.

20420816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20420816 is about 4518.9396986461. The cubic root of 20420816 is about 273.3323471443.

The spelling of 20420816 in words is "twenty million, four hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3167 3224 6334 6448 12668 25336 41171 50672 82342 98177 164684 196354 329368 392708 658736 785416 1276301 1570832 2552602 5105204 10210408 20420816