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889380 = 2236561
BaseRepresentation
bin11011001001000100100
31200012000000
43121020210
5211430010
631021300
710362642
oct3311044
91605000
10889380
11558228
1236a830
13251a7b
14192192
151287c0
hexd9224

889380 has 84 divisors (see below), whose sum is σ = 2846172. Its totient is φ = 233280.

The previous prime is 889373. The next prime is 889391. The reversal of 889380 is 83988.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 746496 = 378^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 889380.

It is an unprimeable number.

889380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14550 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (33883).

2889380 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 889380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423086).

889380 is an abundant number, since it is smaller than the sum of its proper divisors (1956792).

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

889380 is a wasteful number, since it uses less digits than its factorization.

889380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 889380 is about 943.0694566149. The cubic root of 889380 is about 96.1676757134.

The spelling of 889380 in words is "eight hundred eighty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 243 244 270 305 324 366 405 486 540 549 610 729 732 810 915 972 1098 1215 1220 1458 1620 1647 1830 2196 2430 2745 2916 3294 3645 3660 4860 4941 5490 6588 7290 8235 9882 10980 14580 14823 16470 19764 24705 29646 32940 44469 49410 59292 74115 88938 98820 148230 177876 222345 296460 444690 889380