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120655128 = 233114171157
BaseRepresentation
bin1110011000100…
…00110100011000
322102000220201110
413030100310120
5221341431003
615550020320
72663360136
oct714206430
9272026643
10120655128
1162119a90
12344a76a0
131bcc6189
141204a756
15a8d4a03
hex7310d18

120655128 has 128 divisors (see below), whose sum is σ = 344010240. Its totient is φ = 34944000.

The previous prime is 120655123. The next prime is 120655151. The reversal of 120655128 is 821556021.

It is a junction number, because it is equal to n+sod(n) for n = 120655095 and 120655104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120655123) by changing a digit.

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, 768426 + ... + 768582.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 2120655128 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 120655128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172005120).

120655128 is an abundant number, since it is smaller than the sum of its proper divisors (223355112).

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

120655128 is a wasteful number, since it uses less digits than its factorization.

120655128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 120655128 is about 10984.3128141910. The cubic root of 120655128 is about 494.1383888919.

The spelling of 120655128 in words is "one hundred twenty million, six hundred fifty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 71 82 88 123 132 142 157 164 213 246 264 284 314 328 426 451 471 492 568 628 781 852 902 942 984 1256 1353 1562 1704 1727 1804 1884 2343 2706 2911 3124 3454 3608 3768 4686 5181 5412 5822 6248 6437 6908 8733 9372 10362 10824 11147 11644 12874 13816 17466 18744 19311 20724 22294 23288 25748 32021 33441 34932 38622 41448 44588 51496 64042 66882 69864 70807 77244 89176 96063 122617 128084 133764 141614 154488 192126 212421 245234 256168 267528 283228 367851 384252 424842 457027 490468 566456 735702 768504 849684 914054 980936 1371081 1471404 1699368 1828108 2742162 2942808 3656216 5027297 5484324 10054594 10968648 15081891 20109188 30163782 40218376 60327564 120655128