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19688928 = 253783353
BaseRepresentation
bin100101100011…
…0110111100000
31101001022010120
41023012313200
520020021203
61542000240
7326232060
oct113066740
941038116
1019688928
1110128646
126716080
13410496c
1428873a0
151addb53
hex12c6de0

19688928 has 96 divisors (see below), whose sum is σ = 59947776. Its totient is φ = 5541888.

The previous prime is 19688927. The next prime is 19688953. The reversal of 19688928 is 82988691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19688927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55600 + ... + 55952.

It is an arithmetic number, because the mean of its divisors is an integer number (624456).

Almost surely, 219688928 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 19688928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29973888).

19688928 is an abundant number, since it is smaller than the sum of its proper divisors (40258848).

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

19688928 is a wasteful number, since it uses less digits than its factorization.

19688928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 19688928 is about 4437.2207517769. The cubic root of 19688928 is about 270.0271029034.

The spelling of 19688928 in words is "nineteen million, six hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 353 498 581 664 672 706 996 1059 1162 1328 1412 1743 1992 2118 2324 2471 2656 2824 3486 3984 4236 4648 4942 5648 6972 7413 7968 8472 9296 9884 11296 13944 14826 16944 18592 19768 27888 29299 29652 33888 39536 55776 58598 59304 79072 87897 117196 118608 175794 205093 234392 237216 351588 410186 468784 615279 703176 820372 937568 1230558 1406352 1640744 2461116 2812704 3281488 4922232 6562976 9844464 19688928