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1080720 = 243251979
BaseRepresentation
bin100000111110110010000
32000220110200
410013312100
5234040340
635055200
712120534
oct4076620
92026420
101080720
11678a63
12441500
132baba4
14201bc4
15165330
hex107d90

1080720 has 120 divisors (see below), whose sum is σ = 3868800. Its totient is φ = 269568.

The previous prime is 1080713. The next prime is 1080749. The reversal of 1080720 is 270801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1080693 and 1080702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13641 + ... + 13719.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

21080720 is an apocalyptic number.

1080720 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 1080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934400).

1080720 is an abundant number, since it is smaller than the sum of its proper divisors (2788080).

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

1080720 is a wasteful number, since it uses less digits than its factorization.

1080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1080720 is about 1039.5768369871. The cubic root of 1080720 is about 102.6213514152.

The spelling of 1080720 in words is "one million, eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 79 80 90 95 114 120 144 152 158 171 180 190 228 237 240 285 304 316 342 360 380 395 456 474 570 632 684 711 720 760 790 855 912 948 1140 1185 1264 1368 1422 1501 1520 1580 1710 1896 2280 2370 2736 2844 3002 3160 3420 3555 3792 4503 4560 4740 5688 6004 6320 6840 7110 7505 9006 9480 11376 12008 13509 13680 14220 15010 18012 18960 22515 24016 27018 28440 30020 36024 45030 54036 56880 60040 67545 72048 90060 108072 120080 135090 180120 216144 270180 360240 540360 1080720