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120554145 = 32519241181
BaseRepresentation
bin1110010111110…
…00001010100001
322101211210012100
413023320022201
5221330213040
615543521013
72662456545
oct713701241
9271753170
10120554145
1162060128
1234459169
131bc8c21a
1412021a25
15a8b4b30
hex72f82a1

120554145 has 72 divisors (see below), whose sum is σ = 227164392. Its totient is φ = 59097600.

The previous prime is 120554129. The next prime is 120554153. The reversal of 120554145 is 541455021.

It can be written as a sum of positive squares in 4 ways, for example, as 10556001 + 109998144 = 3249^2 + 10488^2 .

It is not a de Polignac number, because 120554145 - 24 = 120554129 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 665955 + ... + 666135.

It is an arithmetic number, because the mean of its divisors is an integer number (3155061).

Almost surely, 2120554145 is an apocalyptic number.

120554145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120554145 is a deficient number, since it is larger than the sum of its proper divisors (106610247).

120554145 is a wasteful number, since it uses less digits than its factorization.

120554145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 120554145 is about 10979.7151602398. The cubic root of 120554145 is about 494.0004930962. Note that the first 3 decimals are identical.

The spelling of 120554145 in words is "one hundred twenty million, five hundred fifty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 181 205 285 361 369 543 615 779 855 905 1083 1629 1805 1845 2337 2715 3249 3439 3895 5415 7011 7421 8145 10317 11685 14801 16245 17195 22263 30951 35055 37105 44403 51585 65341 66789 74005 111315 133209 140999 154755 196023 222015 326705 333945 422997 588069 666045 704995 980115 1268991 2114985 2678981 2940345 6344955 8036943 13394905 24110829 40184715 120554145