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19320928 = 2511131419
BaseRepresentation
bin100100110110…
…1000001100000
31100100121022221
41021231001200
514421232203
61530040424
7323140144
oct111550140
940317287
1019320928
11a9a7110
126579114
134006303
1427cd224
151a69abd
hex126d060

19320928 has 48 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 8694400.

The previous prime is 19320887. The next prime is 19320937. The reversal of 19320928 is 82902391.

It is a junction number, because it is equal to n+sod(n) for n = 19320893 and 19320902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45903 + ... + 46321.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 219320928 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 19320928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

19320928 is an abundant number, since it is smaller than the sum of its proper divisors (22591712).

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

19320928 is a wasteful number, since it uses less digits than its factorization.

19320928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 19320928 is about 4395.5577575548. The cubic root of 19320928 is about 268.3341788056.

It can be divided in two parts, 1932092 and 8, that added together give a square (1932100 = 13902).

The spelling of 19320928 in words is "nineteen million, three hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 419 524 838 1048 1441 1676 2096 2882 3352 4192 4609 5764 6704 9218 11528 13408 18436 23056 36872 46112 54889 73744 109778 147488 219556 439112 603779 878224 1207558 1756448 2415116 4830232 9660464 19320928