Search a number
-
+
120142602 = 235435749
BaseRepresentation
bin1110010100100…
…11101100001010
322101001212200000
413022103230022
5221224030402
615531023430
72656123656
oct712235412
9271055600
10120142602
11618a9a08
123429ab76
131bb76ac8
1411d55a66
15a832c1c
hex7293b0a

120142602 has 48 divisors (see below), whose sum is σ = 276276000. Its totient is φ = 39109392.

The previous prime is 120142601. The next prime is 120142619. The reversal of 120142602 is 206241021.

120142602 is a `hidden beast` number, since 1 + 20 + 1 + 42 + 602 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120142601) 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 23 ways as a sum of consecutive naturals, for example, 18024 + ... + 23772.

It is an arithmetic number, because the mean of its divisors is an integer number (5755750).

Almost surely, 2120142602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120142602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138138000).

120142602 is an abundant number, since it is smaller than the sum of its proper divisors (156133398).

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

120142602 is an equidigital number, since it uses as much as digits as its factorization.

120142602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120142602 is about 10960.9580785623. The cubic root of 120142602 is about 493.4377190645.

Adding to 120142602 its reverse (206241021), we get a palindrome (326383623).

The spelling of 120142602 in words is "one hundred twenty million, one hundred forty-two thousand, six hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 2322 3483 5749 6966 10449 11498 17247 20898 34494 51741 103482 155223 247207 310446 465669 494414 741621 931338 1397007 1483242 2224863 2794014 4449726 6674589 13349178 20023767 40047534 60071301 120142602