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120000042 = 2341743573
BaseRepresentation
bin1110010011100…
…00111000101010
322100210122010000
413021300320222
5221210000132
615524003430
72654661231
oct711607052
9270718100
10120000042
1161811898
1234230576
131bb26c56
1411d19b18
15a80587c
hex7270e2a

120000042 has 40 divisors (see below), whose sum is σ = 284712516. Its totient is φ = 37646208.

The previous prime is 120000031. The next prime is 120000043. The reversal of 120000042 is 240000021.

It can be written as a sum of positive squares in 2 ways, for example, as 114896961 + 5103081 = 10719^2 + 2259^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 119999979 and 120000033.

It is not an unprimeable number, because it can be changed into a prime (120000043) 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 19 ways as a sum of consecutive naturals, for example, 19033 + ... + 24540.

Almost surely, 2120000042 is an apocalyptic number.

120000042 is an abundant number, since it is smaller than the sum of its proper divisors (164712474).

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

120000042 is a wasteful number, since it uses less digits than its factorization.

120000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43604 (or 43595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120000042 is about 10954.4530671321. The cubic root of 120000042 is about 493.2424724110.

Adding to 120000042 its reverse (240000021), we get a palindrome (360000063).

The spelling of 120000042 in words is "one hundred twenty million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 43573 87146 130719 261438 392157 740741 784314 1176471 1481482 2222223 2352942 3529413 4444446 6666669 7058826 13333338 20000007 40000014 60000021 120000042