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1089920 = 27513131
BaseRepresentation
bin100001010000110000000
32001101002102
410022012000
5234334140
635205532
712156416
oct4120600
92041072
101089920
11684967
124468a8
132c2130
142052b6
15167e15
hex10a180

1089920 has 64 divisors (see below), whose sum is σ = 2827440. Its totient is φ = 399360.

The previous prime is 1089919. The next prime is 1089941. The reversal of 1089920 is 299801.

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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8255 + ... + 8385.

21089920 is an apocalyptic number.

1089920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413720).

1089920 is an abundant number, since it is smaller than the sum of its proper divisors (1737520).

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

1089920 is a wasteful number, since it uses less digits than its factorization.

1089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1089920 is about 1043.9923371366. The cubic root of 1089920 is about 102.9117288158.

The spelling of 1089920 in words is "one million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 131 160 208 260 262 320 416 520 524 640 655 832 1040 1048 1310 1664 1703 2080 2096 2620 3406 4160 4192 5240 6812 8320 8384 8515 10480 13624 16768 17030 20960 27248 34060 41920 54496 68120 83840 108992 136240 217984 272480 544960 1089920