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19926984 = 23371141263
BaseRepresentation
bin100110000000…
…0111111001000
31101111101200110
41030000333020
520100130414
61551034320
7331243110
oct114007710
941441613
1019926984
1110280490
12680b9a0
13418911c
14290a040
151b39459
hex1300fc8

19926984 has 128 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 5030400.

The previous prime is 19926983. The next prime is 19926989. The reversal of 19926984 is 48962991.

It is not an unprimeable number, because it can be changed into a prime (19926983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75637 + ... + 75899.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 219926984 is an apocalyptic number.

19926984 is a gapful number since it is divisible by the number (14) 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 19926984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

19926984 is an abundant number, since it is smaller than the sum of its proper divisors (43939896).

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

19926984 is a wasteful number, since it uses less digits than its factorization.

19926984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 19926984 is about 4463.9650536267. The cubic root of 19926984 is about 271.1110323290. Note that the first 3 decimals are identical.

It can be divided in two parts, 19926 and 984, that multiplied together give a square (19607184 = 44282).

The spelling of 19926984 in words is "nineteen million, nine hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 263 264 287 308 328 451 462 492 526 574 616 789 861 902 924 984 1052 1148 1353 1578 1722 1804 1841 1848 2104 2296 2706 2893 3156 3157 3444 3608 3682 5412 5523 5786 6312 6314 6888 7364 8679 9471 10783 10824 11046 11572 12628 14728 17358 18942 20251 21566 22092 23144 25256 32349 34716 37884 40502 43132 44184 60753 64698 69432 75481 75768 81004 86264 118613 121506 129396 150962 162008 226443 237226 243012 258792 301924 355839 452886 474452 486024 603848 711678 830291 905772 948904 1423356 1660582 1811544 2490873 2846712 3321164 4981746 6642328 9963492 19926984