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120069045 = 32517316183
BaseRepresentation
bin1110010100000…
…01101110110101
322100221010202200
413022001232311
5221214202140
615525255113
72655366345
oct712015665
9270833680
10120069045
1161859718
1234264499
131bb4c495
1411d36d25
15a81b030
hex7281bb5

120069045 has 96 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 56678400.

The previous prime is 120069031. The next prime is 120069101. The reversal of 120069045 is 540960021.

It is not a de Polignac number, because 120069045 - 212 = 120064949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1446574 + ... + 1446656.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2120069045 is an apocalyptic number.

120069045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120069045 is a deficient number, since it is larger than the sum of its proper divisors (113915979).

120069045 is a wasteful number, since it uses less digits than its factorization.

120069045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120069045 is about 10957.6021555813. The cubic root of 120069045 is about 493.3369965133.

The spelling of 120069045 in words is "one hundred twenty million, sixty-nine thousand, forty-five".

Divisors: 1 3 5 9 15 17 31 45 51 61 83 85 93 153 155 183 249 255 279 305 415 465 527 549 747 765 915 1037 1245 1395 1411 1581 1891 2573 2635 2745 3111 3735 4233 4743 5063 5185 5673 7055 7719 7905 9333 9455 12699 12865 15189 15555 17019 21165 23157 23715 25315 28365 32147 38595 43741 45567 46665 63495 75945 85095 86071 96441 115785 131223 156953 160735 218705 227835 258213 289323 393669 430355 470859 482205 656115 774639 784765 1291065 1412577 1446615 1968345 2354295 2668201 3873195 7062885 8004603 13341005 24013809 40023015 120069045