Search a number
-
+
10561080 = 23351731167
BaseRepresentation
bin101000010010…
…011000111000
3201212120002010
4220102120320
510200423310
61014205520
7155524215
oct50223070
921776063
1010561080
115a63772
1236538a0
13225a07a
14158cb0c
15dd9320
hexa12638

10561080 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2549760.

The previous prime is 10561043. The next prime is 10561099. The reversal of 10561080 is 8016501.

It is a super-2 number, since 2×105610802 = 223072821532800, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63157 + ... + 63323.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 210561080 is an apocalyptic number.

10561080 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 10561080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

10561080 is an abundant number, since it is smaller than the sum of its proper divisors (24275400).

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

10561080 is a wasteful number, since it uses less digits than its factorization.

10561080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10561080 is about 3249.7815311187. The cubic root of 10561080 is about 219.3997411240.

Adding to 10561080 its reverse (8016501), we get a palindrome (18577581).

The spelling of 10561080 in words is "ten million, five hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 167 170 186 204 248 255 310 334 340 372 408 465 501 510 527 620 668 680 744 835 930 1002 1020 1054 1240 1336 1581 1670 1860 2004 2040 2108 2505 2635 2839 3162 3340 3720 4008 4216 5010 5177 5270 5678 6324 6680 7905 8517 10020 10354 10540 11356 12648 14195 15531 15810 17034 20040 20708 21080 22712 25885 28390 31062 31620 34068 41416 42585 51770 56780 62124 63240 68136 77655 85170 88009 103540 113560 124248 155310 170340 176018 207080 264027 310620 340680 352036 440045 528054 621240 704072 880090 1056108 1320135 1760180 2112216 2640270 3520360 5280540 10561080