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10989056 = 29132127
BaseRepresentation
bin101001111010…
…111000000000
3202200022011002
4221322320000
510303122211
61031311132
7162256031
oct51727000
922608132
1010989056
116226271
12381b4a8
132379b00
141660a88
15e7103b
hexa7ae00

10989056 has 60 divisors (see below), whose sum is σ = 23962752. Its totient is φ = 5031936.

The previous prime is 10989047. The next prime is 10989059. The reversal of 10989056 is 65098901.

It is a super-2 number, since 2×109890562 = 241518703542272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10989059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86465 + ... + 86591.

Almost surely, 210989056 is an apocalyptic number.

10989056 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 10989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981376).

10989056 is an abundant number, since it is smaller than the sum of its proper divisors (12973696).

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

10989056 is an equidigital number, since it uses as much as digits as its factorization.

10989056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 10989056 is about 3314.9745097059. The cubic root of 10989056 is about 222.3242293165.

The spelling of 10989056 in words is "ten million, nine hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 169 208 254 256 338 416 508 512 676 832 1016 1352 1651 1664 2032 2704 3302 3328 4064 5408 6604 6656 8128 10816 13208 16256 21463 21632 26416 32512 42926 43264 52832 65024 85852 86528 105664 171704 211328 343408 422656 686816 845312 1373632 2747264 5494528 10989056