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120098496 = 2637193463
BaseRepresentation
bin1110010100010…
…00111011000000
322100222122011110
413022020323000
5221221122441
615530043320
72655551250
oct712107300
9270878143
10120098496
1161879861
1234279540
131bb5c9cb
1411d43960
15a824b16
hex7288ec0

120098496 has 112 divisors (see below), whose sum is σ = 365825024. Its totient is φ = 34062336.

The previous prime is 120098491. The next prime is 120098497. The reversal of 120098496 is 694890021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120098491) 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 15 ways as a sum of consecutive naturals, for example, 259161 + ... + 259623.

Almost surely, 2120098496 is an apocalyptic number.

120098496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182912512).

120098496 is an abundant number, since it is smaller than the sum of its proper divisors (245726528).

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

120098496 is a wasteful number, since it uses less digits than its factorization.

120098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 120098496 is about 10958.9459347147. The cubic root of 120098496 is about 493.3773290850.

The spelling of 120098496 in words is "one hundred twenty million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 193 224 336 386 448 463 579 672 772 926 1158 1344 1351 1389 1544 1852 2316 2702 2778 3088 3241 3704 4053 4632 5404 5556 6176 6482 7408 8106 9264 9723 10808 11112 12352 12964 14816 16212 18528 19446 21616 22224 25928 29632 32424 37056 38892 43232 44448 51856 64848 77784 86464 88896 89359 103712 129696 155568 178718 207424 259392 268077 311136 357436 536154 622272 625513 714872 1072308 1251026 1429744 1876539 2144616 2502052 2859488 3753078 4289232 5004104 5718976 7506156 8578464 10008208 15012312 17156928 20016416 30024624 40032832 60049248 120098496