Search a number
-
+
10843840 = 265747103
BaseRepresentation
bin101001010111…
…011011000000
3202101220221201
4221113123000
510234000330
61024230544
7161112460
oct51273300
922356851
1010843840
116137157
12376b454
132328997
141623ba0
15e42eca
hexa576c0

10843840 has 112 divisors (see below), whose sum is σ = 30431232. Its totient is φ = 3603456.

The previous prime is 10843823. The next prime is 10843871. The reversal of 10843840 is 4834801.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10843799 and 10843808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105229 + ... + 105331.

Almost surely, 210843840 is an apocalyptic number.

10843840 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 10843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215616).

10843840 is an abundant number, since it is smaller than the sum of its proper divisors (19587392).

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

10843840 is a wasteful number, since it uses less digits than its factorization.

10843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 10843840 is about 3292.9986334646. The cubic root of 10843840 is about 221.3405749151.

The spelling of 10843840 in words is "ten million, eight hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 103 112 140 160 188 206 224 235 280 320 329 376 412 448 470 515 560 658 721 752 824 940 1030 1120 1316 1442 1504 1645 1648 1880 2060 2240 2632 2884 3008 3290 3296 3605 3760 4120 4841 5264 5768 6580 6592 7210 7520 8240 9682 10528 11536 13160 14420 15040 16480 19364 21056 23072 24205 26320 28840 32960 33887 38728 46144 48410 52640 57680 67774 77456 96820 105280 115360 135548 154912 169435 193640 230720 271096 309824 338870 387280 542192 677740 774560 1084384 1355480 1549120 2168768 2710960 5421920 10843840