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107018280 = 23335197503
BaseRepresentation
bin1100110000011…
…11100000101000
321110101002111000
412120033200220
5204344041110
614341435000
72436432435
oct630174050
9243332430
10107018280
1155455466
122ba0ba60
1319230135
14102dab8c
1595de1c0
hex660f828

107018280 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 28336896.

The previous prime is 107018237. The next prime is 107018299. The reversal of 107018280 is 82810701.

It is a super-2 number, since 2×1070182802 = 22905824508316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 212509 + ... + 213011.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2107018280 is an apocalyptic number.

107018280 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 107018280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

107018280 is an abundant number, since it is smaller than the sum of its proper divisors (252232920).

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

107018280 is a wasteful number, since it uses less digits than its factorization.

107018280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 107018280 is about 10344.9639922041. The cubic root of 107018280 is about 474.7729736892.

Adding to 107018280 its reverse (82810701), we get a palindrome (189828981).

It can be divided in two parts, 10701 and 8280, that added together give a palindrome (18981).

The spelling of 107018280 in words is "one hundred seven million, eighteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 197 216 270 360 394 503 540 591 788 985 1006 1080 1182 1509 1576 1773 1970 2012 2364 2515 2955 3018 3546 3940 4024 4527 4728 5030 5319 5910 6036 7092 7545 7880 8865 9054 10060 10638 11820 12072 13581 14184 15090 17730 18108 20120 21276 22635 23640 26595 27162 30180 35460 36216 42552 45270 53190 54324 60360 67905 70920 90540 99091 106380 108648 135810 181080 198182 212760 271620 297273 396364 495455 543240 594546 792728 891819 990910 1189092 1486365 1783638 1981820 2378184 2675457 2972730 3567276 3963640 4459095 5350914 5945460 7134552 8918190 10701828 11890920 13377285 17836380 21403656 26754570 35672760 53509140 107018280