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20420456 = 2372113461
BaseRepresentation
bin100110111100…
…1011101101000
31102102110121012
41031321131220
520211423311
62005403052
7335366600
oct115713550
942373535
1020420456
1110588211
126a09488
1342cc914
1429d7c00
151bd578b
hex1379768

20420456 has 48 divisors (see below), whose sum is σ = 45031140. Its totient is φ = 8655360.

The previous prime is 20420453. The next prime is 20420479. The reversal of 20420456 is 65402402.

It can be written as a sum of positive squares in 2 ways, for example, as 17056900 + 3363556 = 4130^2 + 1834^2 .

It is not an unprimeable number, because it can be changed into a prime (20420453) 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, 44066 + ... + 44526.

Almost surely, 220420456 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 20420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515570).

20420456 is an abundant number, since it is smaller than the sum of its proper divisors (24610684).

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

20420456 is a wasteful number, since it uses less digits than its factorization.

20420456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 20420456 is about 4518.8998661179. The cubic root of 20420456 is about 273.3307409365.

Adding to 20420456 its reverse (65402402), we get a palindrome (85822858).

The spelling of 20420456 in words is "twenty million, four hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 461 791 904 922 1582 1844 3164 3227 3688 5537 6328 6454 11074 12908 22148 22589 25816 44296 45178 52093 90356 104186 180712 208372 364651 416744 729302 1458604 2552557 2917208 5105114 10210228 20420456