Search a number
-
+
1098048 = 26371943
BaseRepresentation
bin100001100000101000000
32001210020110
410030011000
5240114143
635311320
712222210
oct4140500
92053213
101098048
1168aa86
1244b540
132c5a43
14208240
1516a533
hex10c140

1098048 has 112 divisors (see below), whose sum is σ = 3576320. Its totient is φ = 290304.

The previous prime is 1098037. The next prime is 1098073. The reversal of 1098048 is 8408901.

It is a happy number.

1098048 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25515 + ... + 25557.

21098048 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 1098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788160).

1098048 is an abundant number, since it is smaller than the sum of its proper divisors (2478272).

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

1098048 is a wasteful number, since it uses less digits than its factorization.

1098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

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

The square root of 1098048 is about 1047.8778554774. The cubic root of 1098048 is about 103.1669144586.

The spelling of 1098048 in words is "one million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 43 48 56 57 64 76 84 86 96 112 114 129 133 152 168 172 192 224 228 258 266 301 304 336 344 399 448 456 516 532 602 608 672 688 798 817 903 912 1032 1064 1204 1216 1344 1376 1596 1634 1806 1824 2064 2128 2408 2451 2752 3192 3268 3612 3648 4128 4256 4816 4902 5719 6384 6536 7224 8256 8512 9632 9804 11438 12768 13072 14448 17157 19264 19608 22876 25536 26144 28896 34314 39216 45752 52288 57792 68628 78432 91504 137256 156864 183008 274512 366016 549024 1098048