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10988320 = 25579811
BaseRepresentation
bin101001111010…
…101100100000
3202200021010211
4221322230200
510303111240
61031303504
7162253630
oct51725440
922607124
1010988320
116225762
12381ab94
132379685
1416606c0
15e70bea
hexa7ab20

10988320 has 48 divisors (see below), whose sum is σ = 29671488. Its totient is φ = 3767040.

The previous prime is 10988317. The next prime is 10988333. The reversal of 10988320 is 2388901.

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, 3786 + ... + 6025.

It is an arithmetic number, because the mean of its divisors is an integer number (618156).

Almost surely, 210988320 is an apocalyptic number.

10988320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10988320 is an abundant number, since it is smaller than the sum of its proper divisors (18683168).

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

10988320 is an equidigital number, since it uses as much as digits as its factorization.

10988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10988320 is about 3314.8634964354. The cubic root of 10988320 is about 222.3192657635.

The spelling of 10988320 in words is "ten million, nine hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9811 19622 39244 49055 68677 78488 98110 137354 156976 196220 274708 313952 343385 392440 549416 686770 784880 1098832 1373540 1569760 2197664 2747080 5494160 10988320