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19898928 = 24327191039
BaseRepresentation
bin100101111101…
…0001000110000
31101102222012100
41023322020300
520043231203
61550300400
7331065240
oct113721060
941388170
1019898928
11102613a5
1267b7700
13417941a
1428ddb20
151b30ea3
hex12fa230

19898928 has 120 divisors (see below), whose sum is σ = 67059200. Its totient is φ = 5380992.

The previous prime is 19898917. The next prime is 19898929. The reversal of 19898928 is 82989891.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19898929) 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 23 ways as a sum of consecutive naturals, for example, 18633 + ... + 19671.

Almost surely, 219898928 is an apocalyptic number.

19898928 is a gapful number since it is divisible by the number (18) 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 19898928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33529600).

19898928 is an abundant number, since it is smaller than the sum of its proper divisors (47160272).

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

19898928 is a wasteful number, since it uses less digits than its factorization.

19898928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1070 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 19898928 is about 4460.8214490159. The cubic root of 19898928 is about 270.9837365367.

The spelling of 19898928 in words is "nineteen million, eight hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1039 1064 1197 1368 1596 2078 2128 2394 2736 3117 3192 4156 4788 6234 6384 7273 8312 9351 9576 12468 14546 16624 18702 19152 19741 21819 24936 29092 37404 39482 43638 49872 58184 59223 65457 74808 78964 87276 116368 118446 130914 138187 149616 157928 174552 177669 236892 261828 276374 315856 349104 355338 414561 473784 523656 552748 710676 829122 947568 1047312 1105496 1243683 1421352 1658244 2210992 2487366 2842704 3316488 4974732 6632976 9949464 19898928