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20431424 = 261321889
BaseRepresentation
bin100110111110…
…0001001000000
31102110000122102
41031330021000
520212301144
62005525532
7335443556
oct115741100
942400572
1020431424
1110595482
126a138a8
134304900
1429dbbd6
151bd8b4e
hex137c240

20431424 has 42 divisors (see below), whose sum is σ = 43925490. Its totient is φ = 9424896.

The previous prime is 20431423. The next prime is 20431427. The reversal of 20431424 is 42413402.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 20430400 = 32^2 + 4520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20431396 and 20431405.

It is not an unprimeable number, because it can be changed into a prime (20431421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9872 + ... + 11760.

It is an arithmetic number, because the mean of its divisors is an integer number (1045845).

Almost surely, 220431424 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 20431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962745).

20431424 is an abundant number, since it is smaller than the sum of its proper divisors (23494066).

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

20431424 is a wasteful number, since it uses less digits than its factorization.

20431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 20431424 is about 4520.1132729170. The cubic root of 20431424 is about 273.3796682637.

Adding to 20431424 its reverse (42413402), we get a palindrome (62844826).

The spelling of 20431424 in words is "twenty million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 1889 2704 3778 5408 7556 10816 15112 24557 30224 49114 60448 98228 120896 196456 319241 392912 638482 785824 1276964 1571648 2553928 5107856 10215712 20431424