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1089536 = 213719
BaseRepresentation
bin100001010000000000000
32001100120012
410022000000
5234331121
635204052
712155330
oct4120000
92040505
101089536
11684648
12446628
132c1bc6
142050c0
15167c5b
hex10a000

1089536 has 56 divisors (see below), whose sum is σ = 2621280. Its totient is φ = 442368.

The previous prime is 1089523. The next prime is 1089551. The reversal of 1089536 is 6359801.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57335 + ... + 57353.

21089536 is an apocalyptic number.

1089536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1089536 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310640).

1089536 is an abundant number, since it is smaller than the sum of its proper divisors (1531744).

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

1089536 is an frugal number, since it uses more digits than its factorization.

1089536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1089536 is about 1043.8084115392. The cubic root of 1089536 is about 102.8996414621.

The spelling of 1089536 in words is "one million, eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 2048 2128 2432 3584 4096 4256 4864 7168 8192 8512 9728 14336 17024 19456 28672 34048 38912 57344 68096 77824 136192 155648 272384 544768 1089536