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1116142080 = 2935197649
BaseRepresentation
bin100001010000110…
…1111101000000000
32212210012220002120
41002201233220000
54241213021310
6302430444240
736442023354
oct10241575000
92783186076
101116142080
11523040079
12271963680
1314a313101
14a8341464
1567ec3b70
hex4286fa00

1116142080 has 160 divisors (see below), whose sum is σ = 3756456000. Its totient is φ = 281935872.

The previous prime is 1116142067. The next prime is 1116142109. The reversal of 1116142080 is 802416111.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1116142080.

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 15 ways as a sum of consecutive naturals, for example, 142096 + ... + 149744.

It is an arithmetic number, because the mean of its divisors is an integer number (23477850).

Almost surely, 21116142080 is an apocalyptic number.

1116142080 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 1116142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878228000).

1116142080 is an abundant number, since it is smaller than the sum of its proper divisors (2640313920).

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

1116142080 is an equidigital number, since it uses as much as digits as its factorization.

1116142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1116142080 is about 33408.7126360774. The cubic root of 1116142080 is about 1037.3050541932.

Adding to 1116142080 its reverse (802416111), we get a palindrome (1918558191).

The spelling of 1116142080 in words is "one billion, one hundred sixteen million, one hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7649 7680 9120 9728 12160 14592 15298 18240 22947 24320 29184 30596 36480 38245 45894 48640 61192 72960 76490 91788 114735 122384 145331 145920 152980 183576 229470 244768 290662 305960 367152 435993 458940 489536 581324 611920 726655 734304 871986 917880 979072 1162648 1223840 1453310 1468608 1743972 1835760 1958144 2179965 2325296 2447680 2906620 2937216 3487944 3671520 3916288 4359930 4650592 4895360 5813240 5874432 6975888 7343040 8719860 9301184 9790720 11626480 11748864 13951776 14686080 17439720 18602368 19581440 23252960 27903552 29372160 34879440 37204736 46505920 55807104 58744320 69758880 74409472 93011840 111614208 139517760 186023680 223228416 279035520 372047360 558071040 1116142080