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19983096 = 23327311279
BaseRepresentation
bin100110000111…
…0101011111000
31101121020122200
41030032223320
520103424341
61552150200
7331565520
oct114165370
941536580
1019983096
1110309661
126838360
1341a8823
142922680
151b4adb6
hex130eaf8

19983096 has 96 divisors (see below), whose sum is σ = 63897600. Its totient is φ = 5520960.

The previous prime is 19983091. The next prime is 19983101. The reversal of 19983096 is 69038991.

It is an interprime number because it is at equal distance from previous prime (19983091) and next prime (19983101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19983091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14985 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (665600).

Almost surely, 219983096 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 19983096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31948800).

19983096 is an abundant number, since it is smaller than the sum of its proper divisors (43914504).

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

19983096 is a wasteful number, since it uses less digits than its factorization.

19983096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19983096 is about 4470.2456308351. The cubic root of 19983096 is about 271.3652659117.

The spelling of 19983096 in words is "nineteen million, nine hundred eighty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1279 1302 1736 1953 2232 2558 2604 3837 3906 5116 5208 7674 7812 8953 10232 11511 15348 15624 17906 23022 26859 30696 35812 39649 46044 53718 71624 79298 80577 92088 107436 118947 158596 161154 214872 237894 277543 317192 322308 356841 475788 555086 644616 713682 832629 951576 1110172 1427364 1665258 2220344 2497887 2854728 3330516 4995774 6661032 9991548 19983096