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1089840 = 243519239
BaseRepresentation
bin100001010000100110000
32001100222110
410022010300
5234333330
635205320
712156243
oct4120460
92040873
101089840
116848a4
12446840
132c209b
1420525a
15167db0
hex10a130

1089840 has 80 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 274176.

The previous prime is 1089799. The next prime is 1089841. The reversal of 1089840 is 489801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1089798 and 1089807.

It is not an unprimeable number, because it can be changed into a prime (1089841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4441 + ... + 4679.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

21089840 is an apocalyptic number.

1089840 is a gapful number since it is divisible by the number (10) 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 1089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1089840 is an abundant number, since it is smaller than the sum of its proper divisors (2481360).

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

1089840 is a wasteful number, since it uses less digits than its factorization.

1089840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1089840 is about 1043.9540219761. The cubic root of 1089840 is about 102.9092108513.

The spelling of 1089840 in words is "one million, eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 239 240 285 304 380 456 478 570 717 760 912 956 1140 1195 1434 1520 1912 2280 2390 2868 3585 3824 4541 4560 4780 5736 7170 9082 9560 11472 13623 14340 18164 19120 22705 27246 28680 36328 45410 54492 57360 68115 72656 90820 108984 136230 181640 217968 272460 363280 544920 1089840