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189721984 = 2731137349
BaseRepresentation
bin10110100111011…
…10110110000000
3111012222212122011
423103232312000
5342032100414
630454222304
74462416214
oct1323566600
9435885564
10189721984
1198102a31
1253654994
13303c903a
141b2a8944
15119c8dc4
hexb4eed80

189721984 has 64 divisors (see below), whose sum is σ = 394128000. Its totient is φ = 90869760.

The previous prime is 189721979. The next prime is 189721991. The reversal of 189721984 is 489127981.

189721984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543442 + ... + 543790.

It is an arithmetic number, because the mean of its divisors is an integer number (6158250).

Almost surely, 2189721984 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 189721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197064000).

189721984 is an abundant number, since it is smaller than the sum of its proper divisors (204406016).

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

189721984 is a wasteful number, since it uses less digits than its factorization.

189721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its digits is 290304, while the sum is 49.

The square root of 189721984 is about 13773.9603600417. The cubic root of 189721984 is about 574.6091700762.

The spelling of 189721984 in words is "one hundred eighty-nine million, seven hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 137 248 274 349 496 548 698 992 1096 1396 1984 2192 2792 3968 4247 4384 5584 8494 8768 10819 11168 16988 17536 21638 22336 33976 43276 44672 47813 67952 86552 95626 135904 173104 191252 271808 346208 382504 543616 692416 765008 1384832 1482203 1530016 2964406 3060032 5928812 6120064 11857624 23715248 47430496 94860992 189721984