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1089088 = 267111317
BaseRepresentation
bin100001001111001000000
32001022221121
410021321000
5234322323
635202024
712154120
oct4117100
92038847
101089088
11684280
12446314
132c1940
14204c80
15167a5d
hex109e40

1089088 has 112 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 368640.

The previous prime is 1089047. The next prime is 1089091. The reversal of 1089088 is 8809801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10890882 = 2372225343488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64056 + ... + 64072.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

21089088 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 1089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1089088 is an abundant number, since it is smaller than the sum of its proper divisors (1983296).

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

1089088 is a wasteful number, since it uses less digits than its factorization.

1089088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 1089088 is about 1043.5937907059. The cubic root of 1089088 is about 102.8855359593.

It can be divided in two parts, 10 and 89088, that added together give a palindrome (89098).

The spelling of 1089088 in words is "one million, eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 64 68 77 88 91 104 112 119 136 143 154 176 182 187 208 221 224 238 272 286 308 352 364 374 416 442 448 476 544 572 616 704 728 748 832 884 952 1001 1088 1144 1232 1309 1456 1496 1547 1768 1904 2002 2288 2431 2464 2618 2912 2992 3094 3536 3808 4004 4576 4862 4928 5236 5824 5984 6188 7072 7616 8008 9152 9724 10472 11968 12376 14144 16016 17017 19448 20944 24752 32032 34034 38896 41888 49504 64064 68068 77792 83776 99008 136136 155584 272272 544544 1089088