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20472128 = 26432173
BaseRepresentation
bin100111000011…
…0000101000000
31102112002110222
41032012011000
520220102003
62010442212
7336003335
oct116060500
942462428
1020472128
1110613016
126a33368
13431a2b1
142a0c98c
151be5c38
hex1386140

20472128 has 42 divisors (see below), whose sum is σ = 41831514. Its totient is φ = 9940224.

The previous prime is 20472113. The next prime is 20472143. The reversal of 20472128 is 82127402.

It is an interprime number because it is at equal distance from previous prime (20472113) and next prime (20472143).

It can be written as a sum of positive squares in only one way, i.e., 19998784 + 473344 = 4472^2 + 688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20472097 and 20472106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118250 + ... + 118422.

Almost surely, 220472128 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 20472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20915757).

20472128 is an abundant number, since it is smaller than the sum of its proper divisors (21359386).

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

20472128 is an equidigital number, since it uses as much as digits as its factorization.

20472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 20472128 is about 4524.6135746603. The cubic root of 20472128 is about 273.5610924690.

The spelling of 20472128 in words is "twenty million, four hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 173 344 346 688 692 1376 1384 1849 2752 2768 3698 5536 7396 7439 11072 14792 14878 29584 29756 59168 59512 118336 119024 238048 319877 476096 639754 1279508 2559016 5118032 10236064 20472128