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20414928 = 2431014211
BaseRepresentation
bin100110111100…
…0000111010000
31102102012000110
41031320013100
520211234203
62005321320
7335344512
oct115700720
942365013
1020414928
1110584046
126a06240
1342ca251
1429d5bb2
151bd3d03
hex13781d0

20414928 has 40 divisors (see below), whose sum is σ = 53273376. Its totient is φ = 6736000.

The previous prime is 20414923. The next prime is 20414939. The reversal of 20414928 is 82941402.

It is a junction number, because it is equal to n+sod(n) for n = 20414895 and 20414904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414923) by changing a digit.

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, 2743 + ... + 6953.

Almost surely, 220414928 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 20414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26636688).

20414928 is an abundant number, since it is smaller than the sum of its proper divisors (32858448).

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

20414928 is a wasteful number, since it uses less digits than its factorization.

20414928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20414928 is about 4518.2881714207. The cubic root of 20414928 is about 273.3060743521.

The spelling of 20414928 in words is "twenty million, four hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4211 4848 8422 12633 16844 25266 33688 50532 67376 101064 202128 425311 850622 1275933 1701244 2551866 3402488 5103732 6804976 10207464 20414928