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20498128 = 247296311
BaseRepresentation
bin100111000110…
…0011011010000
31102120102010221
41032030123100
520221420003
62011202424
7336142210
oct116143320
942512127
1020498128
1110630602
126a46414
134329091
142a18240
151bed7bd
hex138c6d0

20498128 has 40 divisors (see below), whose sum is σ = 46961280. Its totient is φ = 8480640.

The previous prime is 20498117. The next prime is 20498147. The reversal of 20498128 is 82189402.

It is a junction number, because it is equal to n+sod(n) for n = 20498093 and 20498102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 6403.

It is an arithmetic number, because the mean of its divisors is an integer number (1174032).

Almost surely, 220498128 is an apocalyptic number.

20498128 is a gapful number since it is divisible by the number (28) 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 20498128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23480640).

20498128 is an abundant number, since it is smaller than the sum of its proper divisors (26463152).

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

20498128 is a wasteful number, since it uses less digits than its factorization.

20498128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 20498128 is about 4527.4858365322. The cubic root of 20498128 is about 273.6768527763.

The spelling of 20498128 in words is "twenty million, four hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 6311 12622 25244 44177 50488 88354 100976 176708 183019 353416 366038 706832 732076 1281133 1464152 2562266 2928304 5124532 10249064 20498128