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10996608 = 27374091
BaseRepresentation
bin101001111100…
…101110000000
3202200200111210
4221330232000
510303342413
61031410120
7162320040
oct51745600
922620453
1010996608
116230a07
123823940
13238038c
141663720
15e733c3
hexa7cb80

10996608 has 64 divisors (see below), whose sum is σ = 33390720. Its totient is φ = 3141120.

The previous prime is 10996591. The next prime is 10996621. The reversal of 10996608 is 80669901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (521730).

Almost surely, 210996608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695360).

10996608 is an abundant number, since it is smaller than the sum of its proper divisors (22394112).

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

10996608 is an equidigital number, since it uses as much as digits as its factorization.

10996608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 10996608 is about 3316.1133876875. The cubic root of 10996608 is about 222.3751468872.

The spelling of 10996608 in words is "ten million, nine hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4091 8182 12273 16364 24546 28637 32728 49092 57274 65456 85911 98184 114548 130912 171822 196368 229096 261824 343644 392736 458192 523648 687288 785472 916384 1374576 1570944 1832768 2749152 3665536 5498304 10996608