Search a number
-
+
112304280 = 233511149571
BaseRepresentation
bin1101011000110…
…10000010011000
321211022122111210
412230122002120
5212222214110
615051023120
72532366504
oct654320230
9254278453
10112304280
1158435960
123173aaa0
131a36114a
1410cb5304
159cd5520
hex6b1a098

112304280 has 128 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 26995200.

The previous prime is 112304279. The next prime is 112304281. The reversal of 112304280 is 82403211.

It is an interprime number because it is at equal distance from previous prime (112304279) and next prime (112304281).

It is a super-2 number, since 2×1123042802 = 25224502612636800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112304281) 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 31 ways as a sum of consecutive naturals, for example, 196395 + ... + 196965.

It is an arithmetic number, because the mean of its divisors is an integer number (2895750).

Almost surely, 2112304280 is an apocalyptic number.

112304280 is a gapful number since it is divisible by the number (10) 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 112304280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185328000).

112304280 is an abundant number, since it is smaller than the sum of its proper divisors (258351720).

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

112304280 is a wasteful number, since it uses less digits than its factorization.

112304280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112304280 is about 10597.3713721847. The cubic root of 112304280 is about 482.4645807893.

Adding to 112304280 its reverse (82403211), we get a palindrome (194707491).

The spelling of 112304280 in words is "one hundred twelve million, three hundred four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 149 165 220 264 298 330 440 447 571 596 660 745 894 1142 1192 1320 1490 1639 1713 1788 2235 2284 2855 2980 3278 3426 3576 4470 4568 4917 5710 5960 6281 6556 6852 8195 8565 8940 9834 11420 12562 13112 13704 16390 17130 17880 18843 19668 22840 24585 25124 31405 32780 34260 37686 39336 49170 50248 62810 65560 68520 75372 85079 94215 98340 125620 150744 170158 188430 196680 251240 255237 340316 376860 425395 510474 680632 753720 850790 935869 1020948 1276185 1701580 1871738 2041896 2552370 2807607 3403160 3743476 4679345 5104740 5615214 7486952 9358690 10209480 11230428 14038035 18717380 22460856 28076070 37434760 56152140 112304280