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189669984 = 2537261661
BaseRepresentation
bin10110100111000…
…10001001100000
3111012220020022020
423103202021200
5342023414414
630453141440
74462111500
oct1323421140
9435806266
10189669984
1198077959
125362a880
13303ab47a
141b293a00
15119b87a9
hexb4e2260

189669984 has 144 divisors (see below), whose sum is σ = 589556016. Its totient is φ = 53222400.

The previous prime is 189669979. The next prime is 189670001. The reversal of 189669984 is 489966981.

It is a congruent number.

It is an unprimeable number.

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, 286614 + ... + 287274.

It is an arithmetic number, because the mean of its divisors is an integer number (4094139).

Almost surely, 2189669984 is an apocalyptic number.

189669984 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 189669984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294778008).

189669984 is an abundant number, since it is smaller than the sum of its proper divisors (399886032).

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

189669984 is a wasteful number, since it uses less digits than its factorization.

189669984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 189669984 is about 13772.0726109036. The cubic root of 189669984 is about 574.5566679773.

It can be divided in two parts, 189669 and 984, that added together give a triangular number (190653 = T617).

The spelling of 189669984 in words is "one hundred eighty-nine million, six hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 61 84 96 98 112 122 147 168 183 196 224 244 294 336 366 392 427 488 588 661 672 732 784 854 976 1176 1281 1322 1464 1568 1708 1952 1983 2352 2562 2644 2928 2989 3416 3966 4627 4704 5124 5288 5856 5978 6832 7932 8967 9254 10248 10576 11956 13664 13881 15864 17934 18508 20496 21152 23912 27762 31728 32389 35868 37016 40321 40992 47824 55524 63456 64778 71736 74032 80642 95648 97167 111048 120963 129556 143472 148064 161284 194334 222096 241926 259112 282247 286944 322568 388668 444192 483852 518224 564494 645136 777336 846741 967704 1036448 1128988 1290272 1554672 1693482 1935408 1975729 2257976 3109344 3386964 3870816 3951458 4515952 5927187 6773928 7902916 9031904 11854374 13547856 15805832 23708748 27095712 31611664 47417496 63223328 94834992 189669984