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10561056 = 2531173137
BaseRepresentation
bin101000010010…
…011000100000
3201212120001020
4220102120200
510200423211
61014205440
7155524152
oct50223040
921776036
1010561056
115a63750
123653880
13225a05c
14158cad2
15dd9306
hexa12620

10561056 has 96 divisors (see below), whose sum is σ = 30881088. Its totient is φ = 3133440.

The previous prime is 10561043. The next prime is 10561099. The reversal of 10561056 is 65016501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105610562 = 223071807670272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

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 15 ways as a sum of consecutive naturals, for example, 77020 + ... + 77156.

It is an arithmetic number, because the mean of its divisors is an integer number (321678).

Almost surely, 210561056 is an apocalyptic number.

10561056 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 10561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440544).

10561056 is an abundant number, since it is smaller than the sum of its proper divisors (20320032).

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

10561056 is a wasteful number, since it uses less digits than its factorization.

10561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10561056 is about 3249.7778385607. Note that the first 3 decimals coincide. The cubic root of 10561056 is about 219.3995749290.

10561056 divided by its sum of digits (24) gives a palindrome (440044).

Adding to 10561056 its reverse (65016501), we get a palindrome (75577557).

Subtracting 10561056 from its reverse (65016501), we obtain a palindrome (54455445).

It can be divided in two parts, 1056 and 1056, that added together give a palindrome (2112).

The spelling of 10561056 in words is "ten million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 137 146 176 219 264 274 292 352 411 438 528 548 584 803 822 876 1056 1096 1168 1507 1606 1644 1752 2192 2336 2409 3014 3212 3288 3504 4384 4521 4818 6028 6424 6576 7008 9042 9636 10001 12056 12848 13152 18084 19272 20002 24112 25696 30003 36168 38544 40004 48224 60006 72336 77088 80008 110011 120012 144672 160016 220022 240024 320032 330033 440044 480048 660066 880088 960096 1320132 1760176 2640264 3520352 5280528 10561056