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120116568 = 2331113311129
BaseRepresentation
bin1110010100011…
…01010101011000
322101000112221210
413022031111120
5221222212233
615530303120
72655655035
oct712152530
9271015853
10120116568
11618913a0
1234287aa0
131bb67cc0
1411d4a38c
15a82a163
hex728d558

120116568 has 128 divisors (see below), whose sum is σ = 364492800. Its totient is φ = 32486400.

The previous prime is 120116561. The next prime is 120116617. The reversal of 120116568 is 865611021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120116561) 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 31 ways as a sum of consecutive naturals, for example, 105828 + ... + 106956.

It is an arithmetic number, because the mean of its divisors is an integer number (2847600).

Almost surely, 2120116568 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 120116568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182246400).

120116568 is an abundant number, since it is smaller than the sum of its proper divisors (244376232).

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

120116568 is a wasteful number, since it uses less digits than its factorization.

120116568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 120116568 is about 10959.7704355520. The cubic root of 120116568 is about 493.4020750732.

Adding to 120116568 its reverse (865611021), we get a palindrome (985727589).

The spelling of 120116568 in words is "one hundred twenty million, one hundred sixteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1129 1144 1209 1364 1612 1716 2046 2258 2418 2728 3224 3387 3432 4092 4433 4516 4836 6774 8184 8866 9032 9672 12419 13299 13548 14677 17732 24838 26598 27096 29354 34999 35464 37257 44031 49676 53196 58708 69998 74514 88062 99352 104997 106392 117416 139996 149028 161447 176124 209994 279992 298056 322894 352248 384989 419988 454987 484341 645788 769978 839976 909974 968682 1154967 1291576 1364961 1539956 1819948 1937364 2309934 2729922 3079912 3639896 3874728 4619868 5004857 5459844 9239736 10009714 10919688 15014571 20019428 30029142 40038856 60058284 120116568