Search a number
-
+
10560096 = 253237991
BaseRepresentation
bin101000010010…
…001001100000
3201212111201200
4220102021200
510200410341
61014201200
7155521311
oct50221140
921774650
1010560096
115a62a58
123653200
1322597a1
14158c608
15dd8db6
hexa12260

10560096 has 72 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 3421440.

The previous prime is 10560079. The next prime is 10560103. The reversal of 10560096 is 69006501.

10560096 is a `hidden beast` number, since 10 + 560 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105600962 = 223031255058432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10161 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 210560096 is an apocalyptic number.

10560096 is a gapful number since it is divisible by the number (16) 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 10560096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

10560096 is an abundant number, since it is smaller than the sum of its proper divisors (20312928).

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

10560096 is a wasteful number, since it uses less digits than its factorization.

10560096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10560096 is about 3249.6301327997. The cubic root of 10560096 is about 219.3929269203.

Adding to 10560096 its reverse (69006501), we get a palindrome (79566597).

The spelling of 10560096 in words is "ten million, five hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 991 1184 1332 1776 1982 2664 2973 3552 3964 5328 5946 7928 8919 10656 11892 15856 17838 23784 31712 35676 36667 47568 71352 73334 95136 110001 142704 146668 220002 285408 293336 330003 440004 586672 660006 880008 1173344 1320012 1760016 2640024 3520032 5280048 10560096