Search a number
-
+
112429170 = 23257473797
BaseRepresentation
bin1101011001110…
…00100001110010
321211112222211100
412230320201302
5212240213140
615053425230
72533426560
oct654704162
9254488740
10112429170
1158510777
123179b216
131a3a5c49
1410d08a30
159d0c530
hex6b38872

112429170 has 96 divisors (see below), whose sum is σ = 341273088. Its totient is φ = 25144704.

The previous prime is 112429159. The next prime is 112429171. The reversal of 112429170 is 71924211.

It is not an unprimeable number, because it can be changed into a prime (112429171) 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 47 ways as a sum of consecutive naturals, for example, 27712 + ... + 31508.

It is an arithmetic number, because the mean of its divisors is an integer number (3554928).

Almost surely, 2112429170 is an apocalyptic number.

112429170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112429170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170636544).

112429170 is an abundant number, since it is smaller than the sum of its proper divisors (228843918).

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

112429170 is a wasteful number, since it uses less digits than its factorization.

112429170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 112429170 is about 10603.2622338599. The cubic root of 112429170 is about 482.6433590139.

The spelling of 112429170 in words is "one hundred twelve million, four hundred twenty-nine thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 470 630 658 705 846 987 1410 1645 1974 2115 2961 3290 3797 4230 4935 5922 7594 9870 11391 14805 18985 22782 26579 29610 34173 37970 53158 56955 68346 79737 113910 132895 159474 170865 178459 239211 265790 341730 356918 398685 478422 535377 797370 892295 1070754 1196055 1249213 1606131 1784590 2392110 2498426 2676885 3212262 3747639 5353770 6246065 7495278 8030655 11242917 12492130 16061310 18738195 22485834 37476390 56214585 112429170