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120086780 = 22511678147
BaseRepresentation
bin1110010100001…
…10000011111100
322100222001002112
413022012003330
5221220234110
615525513152
72655502142
oct712060374
9270861075
10120086780
1161870a80
12342727b8
131bb57588
1411d3d592
15a821405
hex72860fc

120086780 has 48 divisors (see below), whose sum is σ = 279248256. Its totient is φ = 43010880.

The previous prime is 120086779. The next prime is 120086797. The reversal of 120086780 is 87680021.

It is a super-4 number, since 4×1200867804 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10667 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (5817672).

Almost surely, 2120086780 is an apocalyptic number.

120086780 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 120086780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139624128).

120086780 is an abundant number, since it is smaller than the sum of its proper divisors (159161476).

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

120086780 is a wasteful number, since it uses less digits than its factorization.

120086780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 120086780 is about 10958.4113812176. The cubic root of 120086780 is about 493.3612850407.

The spelling of 120086780 in words is "one hundred twenty million, eighty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 8147 14740 16294 32588 40735 81470 89617 162940 179234 358468 448085 545849 896170 1091698 1792340 2183396 2729245 5458490 6004339 10916980 12008678 24017356 30021695 60043390 120086780