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120108648 = 23311601757
BaseRepresentation
bin1110010100010…
…11011001101000
322101000011002110
413022023121220
5221221434043
615530202320
72655622662
oct712133150
9271004073
10120108648
1161886450
12342833a0
131bb6450a
1411d47532
15a827b33
hex728b668

120108648 has 64 divisors (see below), whose sum is σ = 328547520. Its totient is φ = 36288000.

The previous prime is 120108643. The next prime is 120108661. The reversal of 120108648 is 846801021.

It is a super-3 number, since 3×1201086483 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120108643) by changing a digit.

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, 158286 + ... + 159042.

It is an arithmetic number, because the mean of its divisors is an integer number (5133555).

Almost surely, 2120108648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120108648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164273760).

120108648 is an abundant number, since it is smaller than the sum of its proper divisors (208438872).

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

120108648 is a wasteful number, since it uses less digits than its factorization.

120108648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120108648 is about 10959.4091081591. The cubic root of 120108648 is about 493.3912305234.

Adding to 120108648 its reverse (846801021), we get a palindrome (966909669).

The spelling of 120108648 in words is "one hundred twenty million, one hundred eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 601 757 1202 1514 1803 2271 2404 3028 3606 4542 4808 6056 6611 7212 8327 9084 13222 14424 16654 18168 19833 24981 26444 33308 39666 49962 52888 66616 79332 99924 158664 199848 454957 909914 1364871 1819828 2729742 3639656 5004527 5459484 10009054 10918968 15013581 20018108 30027162 40036216 60054324 120108648