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1089130368 = 2734216737
BaseRepresentation
bin100000011101010…
…1100111110000000
32210220101112222210
41000322230332000
54212304132433
6300023502120
735663312124
oct10072547600
92726345883
101089130368
11509870847
122648b7940
13144846351
14a490d584
156593a463
hex40eacf80

1089130368 has 64 divisors (see below), whose sum is σ = 2900304720. Its totient is φ = 362127360.

The previous prime is 1089130363. The next prime is 1089130373. The reversal of 1089130368 is 8630319801.

It is an interprime number because it is at equal distance from previous prime (1089130363) and next prime (1089130373).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089130363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158296 + ... + 165032.

Almost surely, 21089130368 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 1089130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450152360).

1089130368 is an abundant number, since it is smaller than the sum of its proper divisors (1811174352).

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

1089130368 is an equidigital number, since it uses as much as digits as its factorization.

1089130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1089130368 is about 33001.9752136141. The cubic root of 1089130368 is about 1028.8687010244.

The spelling of 1089130368 in words is "one billion, eighty-nine million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 421 842 1263 1684 2526 3368 5052 6736 6737 10104 13472 13474 20208 20211 26944 26948 40416 40422 53888 53896 80832 80844 107792 161664 161688 215584 323376 431168 646752 862336 1293504 2587008 2836277 5672554 8508831 11345108 17017662 22690216 34035324 45380432 68070648 90760864 136141296 181521728 272282592 363043456 544565184 1089130368