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189705768 = 23375919139
BaseRepresentation
bin10110100111010…
…10111000101000
3111012222001101120
423103222320220
5342031041033
630454015240
74462321020
oct1323527050
9435861346
10189705768
11980a182a
1253647520
13303c1845
141b2a2a80
15119c41b3
hexb4eae28

189705768 has 64 divisors (see below), whose sum is σ = 551232000. Its totient is φ = 53280192.

The previous prime is 189705751. The next prime is 189705773. The reversal of 189705768 is 867507981.

189705768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189705768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343 + ... + 19481.

It is an arithmetic number, because the mean of its divisors is an integer number (8613000).

Almost surely, 2189705768 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 189705768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275616000).

189705768 is an abundant number, since it is smaller than the sum of its proper divisors (361526232).

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

189705768 is a wasteful number, since it uses less digits than its factorization.

189705768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19214 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The square root of 189705768 is about 13773.3717004951. The cubic root of 189705768 is about 574.5927985281.

The spelling of 189705768 in words is "one hundred eighty-nine million, seven hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 19139 38278 57417 76556 114834 133973 153112 229668 267946 401919 459336 535892 803838 1071784 1129201 1607676 2258402 3215352 3387603 4516804 6775206 7904407 9033608 13550412 15808814 23713221 27100824 31617628 47426442 63235256 94852884 189705768