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120004144 = 2413576943
BaseRepresentation
bin1110010011100…
…01111000110000
322100210211201221
413021301320300
5221210113034
615524034424
72655006211
oct711617060
9270724657
10120004144
1161814987
1234232a14
131bb28a90
1411d1b408
15a806bb4
hex7271e30

120004144 has 20 divisors (see below), whose sum is σ = 250393696. Its totient is φ = 55386432.

The previous prime is 120004127. The next prime is 120004147. The reversal of 120004144 is 441400021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120004147) 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 3 ways as a sum of consecutive naturals, for example, 288264 + ... + 288679.

Almost surely, 2120004144 is an apocalyptic number.

It is an amenable number.

120004144 is an abundant number, since it is smaller than the sum of its proper divisors (130389552).

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

120004144 is a wasteful number, since it uses less digits than its factorization.

120004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576964 (or 576958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 120004144 is about 10954.6402953269. The cubic root of 120004144 is about 493.2480925690.

Adding to 120004144 its reverse (441400021), we get a palindrome (561404165).

The spelling of 120004144 in words is "one hundred twenty million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 576943 1153886 2307772 4615544 7500259 9231088 15000518 30001036 60002072 120004144