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10988672 = 272932
BaseRepresentation
bin101001111010…
…110010000000
3202200021121212
4221322302000
510303114142
61031305252
7162254642
oct51726200
922607555
1010988672
116225a52
12381b228
132379896
141660892
15e70d82
hexa7ac80

10988672 has 24 divisors (see below), whose sum is σ = 21966465. Its totient is φ = 5475584.

The previous prime is 10988671. The next prime is 10988689. The reversal of 10988672 is 27688901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7974976 + 3013696 = 2824^2 + 1736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2344.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10988671) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 37358 + ... + 37650.

Almost surely, 210988672 is an apocalyptic number.

It is an amenable number.

10988672 is a deficient number, since it is larger than the sum of its proper divisors (10977793).

10988672 is an frugal number, since it uses more digits than its factorization.

10988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 10988672 is about 3314.9165902025. The cubic root of 10988672 is about 222.3216396643.

The spelling of 10988672 in words is "ten million, nine hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 293 586 1172 2344 4688 9376 18752 37504 85849 171698 343396 686792 1373584 2747168 5494336 10988672