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120093324 = 223134317903
BaseRepresentation
bin1110010100001…
…11101010001100
322100222101001220
413022013222030
5221220441244
615530003340
72655530211
oct712075214
9270871056
10120093324
116187598a
1234276550
131bb5a550
1411d41b08
15a823319
hex7287a8c

120093324 has 48 divisors (see below), whose sum is σ = 308808192. Its totient is φ = 36090432.

The previous prime is 120093317. The next prime is 120093329. The reversal of 120093324 is 423390021.

It is a junction number, because it is equal to n+sod(n) for n = 120093294 and 120093303.

It is not an unprimeable number, because it can be changed into a prime (120093329) 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 15 ways as a sum of consecutive naturals, for example, 2244 + ... + 15659.

It is an arithmetic number, because the mean of its divisors is an integer number (6433504).

Almost surely, 2120093324 is an apocalyptic number.

It is an amenable number.

120093324 is an abundant number, since it is smaller than the sum of its proper divisors (188714868).

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

120093324 is a wasteful number, since it uses less digits than its factorization.

120093324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966 (or 17964 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 120093324 is about 10958.7099605747. The cubic root of 120093324 is about 493.3702466089.

The spelling of 120093324 in words is "one hundred twenty million, ninety-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 17903 35806 53709 71612 107418 214836 232739 465478 698217 769829 930956 1396434 1539658 2309487 2792868 3079316 4618974 9237948 10007777 20015554 30023331 40031108 60046662 120093324