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120073814 = 27247131199
BaseRepresentation
bin1110010100000…
…10111001010110
322100221101022022
413022002321112
5221214330224
615525333142
72655416300
oct712027126
9270841268
10120073814
1161862263
12342671b2
131bb516c3
1411d38970
15a81c65e
hex7282e56

120073814 has 48 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 49729680.

The previous prime is 120073721. The next prime is 120073817. The reversal of 120073814 is 418370021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120073817) 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, 603287 + ... + 603485.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2120073814 is an apocalyptic number.

120073814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120073814 is a deficient number, since it is larger than the sum of its proper divisors (96617386).

120073814 is a wasteful number, since it uses less digits than its factorization.

120073814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 120073814 is about 10957.8197648985. The cubic root of 120073814 is about 493.3435280135.

The spelling of 120073814 in words is "one hundred twenty million, seventy-three thousand, eight hundred fourteen".

Divisors: 1 2 7 14 47 49 94 98 131 199 262 329 398 658 917 1393 1834 2303 2786 4606 6157 6419 9353 9751 12314 12838 18706 19502 26069 43099 52138 65471 86198 130942 182483 301693 364966 458297 603386 916594 1225243 1277381 2450486 2554762 8576701 17153402 60036907 120073814