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120080224 = 2511893833
BaseRepresentation
bin1110010100001…
…00011101100000
322100221201002201
413022010131200
5221220031344
615525422544
72655444055
oct712043540
9270851081
10120080224
1161867060
123426aa54
131bb545b4
1411d3b02c
15a81e4d4
hex7284760

120080224 has 48 divisors (see below), whose sum is σ = 260865360. Its totient is φ = 53954560.

The previous prime is 120080203. The next prime is 120080227. The reversal of 120080224 is 422080021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120080227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29412 + ... + 33244.

It is an arithmetic number, because the mean of its divisors is an integer number (5434695).

Almost surely, 2120080224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130432680).

120080224 is an abundant number, since it is smaller than the sum of its proper divisors (140785136).

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

120080224 is a wasteful number, since it uses less digits than its factorization.

120080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 120080224 is about 10958.1122461855. The cubic root of 120080224 is about 493.3523067129.

The spelling of 120080224 in words is "one hundred twenty million, eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3833 3916 7666 7832 15332 15664 30664 31328 42163 61328 84326 122656 168652 337304 341137 674608 682274 1349216 1364548 2729096 3752507 5458192 7505014 10916384 15010028 30020056 60040112 120080224