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10661056 = 26753449
BaseRepresentation
bin101000101010…
…110011000000
3202001122012221
4220222303000
510212123211
61020300424
7156421540
oct50526300
922048187
1010661056
11602189a
1236a1714
132293723
1415b7320
15e08c71
hexa2acc0

10661056 has 56 divisors (see below), whose sum is σ = 24688800. Its totient is φ = 4472832.

The previous prime is 10661041. The next prime is 10661087. The reversal of 10661056 is 65016601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106610562 = 227316230070272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10661056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23520 + ... + 23968.

Almost surely, 210661056 is an apocalyptic number.

10661056 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 10661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344400).

10661056 is an abundant number, since it is smaller than the sum of its proper divisors (14027744).

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

10661056 is an equidigital number, since it uses as much as digits as its factorization.

10661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 10661056 is about 3265.1272563255. The cubic root of 10661056 is about 220.0898806298.

Adding to 10661056 its reverse (65016601), we get a palindrome (75677657).

It can be divided in two parts, 106 and 61056, that multiplied together give a square (6471936 = 25442).

The spelling of 10661056 in words is "ten million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 449 742 848 898 1484 1696 1796 2968 3143 3392 3592 5936 6286 7184 11872 12572 14368 23744 23797 25144 28736 47594 50288 95188 100576 166579 190376 201152 333158 380752 666316 761504 1332632 1523008 2665264 5330528 10661056