Search a number
-
+
120110094 = 233132343173
BaseRepresentation
bin1110010100010…
…11110000001110
322101000020002000
413022023300032
5221222010334
615530213130
72655630126
oct712136016
9271006060
10120110094
1161887545
12342841a6
131bb65080
1411d47c86
15a828299
hex728bc0e

120110094 has 128 divisors (see below), whose sum is σ = 308689920. Its totient is φ = 34328448.

The previous prime is 120110093. The next prime is 120110143. The reversal of 120110094 is 490011021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110093) 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 63 ways as a sum of consecutive naturals, for example, 694192 + ... + 694364.

It is an arithmetic number, because the mean of its divisors is an integer number (2411640).

Almost surely, 2120110094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154344960).

120110094 is an abundant number, since it is smaller than the sum of its proper divisors (188579826).

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

120110094 is a wasteful number, since it uses less digits than its factorization.

120110094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 120110094 is about 10959.4750786705. The cubic root of 120110094 is about 493.3932105108.

The spelling of 120110094 in words is "one hundred twenty million, one hundred ten thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 43 46 54 69 78 86 117 129 138 173 207 234 258 299 346 351 387 414 519 559 598 621 702 774 897 989 1038 1118 1161 1242 1557 1677 1794 1978 2249 2322 2691 2967 3114 3354 3979 4498 4671 5031 5382 5934 6747 7439 7958 8073 8901 9342 10062 11937 12857 13494 14878 15093 16146 17802 20241 22317 23874 25714 26703 30186 35811 38571 40482 44634 51727 53406 60723 66951 71622 77142 96707 103454 107433 115713 121446 133902 155181 171097 193414 200853 214866 231426 290121 310362 342194 347139 401706 465543 513291 580242 694278 870363 931086 1026582 1396629 1539873 1740726 2224261 2611089 2793258 3079746 4448522 4619619 5222178 6672783 9239238 13345566 20018349 40036698 60055047 120110094