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20424352 = 2513291693
BaseRepresentation
bin100110111101…
…0011010100000
31102102122221111
41031322122200
520212034402
62005433104
7335414134
oct115723240
942378844
1020424352
1110590133
126a0b794
134301620
1429d93c4
151bd69d7
hex137a6a0

20424352 has 48 divisors (see below), whose sum is σ = 44823240. Its totient is φ = 9096192.

The previous prime is 20424337. The next prime is 20424353. The reversal of 20424352 is 25342402.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 7203856 = 3636^2 + 2684^2 .

It is not an unprimeable number, because it can be changed into a prime (20424353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11218 + ... + 12910.

Almost surely, 220424352 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 20424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411620).

20424352 is an abundant number, since it is smaller than the sum of its proper divisors (24398888).

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

20424352 is a wasteful number, since it uses less digits than its factorization.

20424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 20424352 is about 4519.3309239311. The cubic root of 20424352 is about 273.3481226713.

Adding to 20424352 its reverse (25342402), we get a palindrome (45766754).

The spelling of 20424352 in words is "twenty million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 1693 3016 3386 6032 6772 12064 13544 22009 27088 44018 49097 54176 88036 98194 176072 196388 352144 392776 638261 704288 785552 1276522 1571104 2553044 5106088 10212176 20424352