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1080721920 = 29351091291
BaseRepresentation
bin100000001101010…
…1000001000000000
32210022120100202210
41000122220020000
54203131100140
6255123342120
735531661525
oct10032501000
92708510683
101080721920
11505048413
12261b21940
13142b91035
14a376114c
1564d28d80
hex406a8200

1080721920 has 160 divisors (see below), whose sum is σ = 3489330240. Its totient is φ = 285327360.

The previous prime is 1080721891. The next prime is 1080721921. The reversal of 1080721920 is 291270801.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1080721921) by changing a digit.

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, 836475 + ... + 837765.

It is an arithmetic number, because the mean of its divisors is an integer number (21808314).

Almost surely, 21080721920 is an apocalyptic number.

1080721920 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 1080721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744665120).

1080721920 is an abundant number, since it is smaller than the sum of its proper divisors (2408608320).

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

1080721920 is a wasteful number, since it uses less digits than its factorization.

1080721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1080721920 is about 32874.3352784509. The cubic root of 1080721920 is about 1026.2141218727.

The spelling of 1080721920 in words is "one billion, eighty million, seven hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 256 320 327 384 436 480 512 545 640 654 768 872 960 1090 1280 1291 1308 1536 1635 1744 1920 2180 2560 2582 2616 3270 3488 3840 3873 4360 5164 5232 6455 6540 6976 7680 7746 8720 10328 10464 12910 13080 13952 15492 17440 19365 20656 20928 25820 26160 27904 30984 34880 38730 41312 41856 51640 52320 55808 61968 69760 77460 82624 83712 103280 104640 123936 139520 140719 154920 165248 167424 206560 209280 247872 279040 281438 309840 330496 413120 418560 422157 495744 562876 619680 660992 703595 826240 837120 844314 991488 1125752 1239360 1407190 1652480 1688628 1982976 2110785 2251504 2478720 2814380 3304960 3377256 4221570 4503008 4957440 5628760 6754512 8443140 9006016 9914880 11257520 13509024 16886280 18012032 22515040 27018048 33772560 36024064 45030080 54036096 67545120 72048128 90060160 108072192 135090240 180120320 216144384 270180480 360240640 540360960 1080721920