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1089080720 = 245713211709
BaseRepresentation
bin100000011101010…
…0000110110010000
32210220022000212222
41000322200312100
54212301040340
6300022440212
735663014310
oct10072406620
92726260788
101089080720
11509837512
12264893068
13144829880
14a48d9440
156592a8b5
hex40ea0d90

1089080720 has 160 divisors (see below), whose sum is σ = 3135632640. Its totient is φ = 342558720.

The previous prime is 1089080711. The next prime is 1089080731. The reversal of 1089080720 is 270809801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 1535726 + ... + 1536434.

It is an arithmetic number, because the mean of its divisors is an integer number (19597704).

Almost surely, 21089080720 is an apocalyptic number.

1089080720 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 1089080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567816320).

1089080720 is an abundant number, since it is smaller than the sum of its proper divisors (2046551920).

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

1089080720 is a wasteful number, since it uses less digits than its factorization.

1089080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 1089080720 is about 33001.2230076402. The cubic root of 1089080720 is about 1028.8530671294.

The spelling of 1089080720 in words is "one billion, eighty-nine million, eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 211 260 280 364 422 455 520 560 709 728 844 910 1040 1055 1418 1456 1477 1688 1820 2110 2743 2836 2954 3376 3545 3640 4220 4963 5486 5672 5908 7090 7280 7385 8440 9217 9926 10972 11344 11816 13715 14180 14770 16880 18434 19201 19852 21944 23632 24815 27430 28360 29540 36868 38402 39704 43888 46085 49630 54860 56720 59080 64519 73736 76804 79408 92170 96005 99260 109720 118160 129038 147472 149599 153608 184340 192010 198520 219440 258076 299198 307216 322595 368680 384020 397040 516152 598396 645190 737360 747995 768040 1032304 1047193 1196792 1290380 1495990 1536080 1944787 2094386 2393584 2580760 2991980 3889574 4188772 5161520 5235965 5983960 7779148 8377544 9723935 10471930 11967920 13613509 15558296 16755088 19447870 20943860 27227018 31116592 38895740 41887720 54454036 68067545 77791480 83775440 108908072 136135090 155582960 217816144 272270180 544540360 1089080720