Search a number
-
+
112023340 = 2251113223131
BaseRepresentation
bin1101010110101…
…01011100101100
321210210101010121
412223111130230
5212134221330
615041014324
72530116442
oct653253454
9253711117
10112023340
1158263880
12316243a4
131a293300
1410c40b92
159c7c17a
hex6ad572c

112023340 has 144 divisors (see below), whose sum is σ = 292190976. Its totient is φ = 35692800.

The previous prime is 112023337. The next prime is 112023347. The reversal of 112023340 is 43320211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112023347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855075 + ... + 855205.

It is an arithmetic number, because the mean of its divisors is an integer number (2029104).

Almost surely, 2112023340 is an apocalyptic number.

112023340 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 112023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146095488).

112023340 is an abundant number, since it is smaller than the sum of its proper divisors (180167636).

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

112023340 is a wasteful number, since it uses less digits than its factorization.

112023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 112023340 is about 10584.1078981651. The cubic root of 112023340 is about 482.0619342716.

Adding to 112023340 its reverse (43320211), we get a palindrome (155343551).

The spelling of 112023340 in words is "one hundred twelve million, twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 131 143 169 220 230 253 260 262 286 299 338 460 506 524 572 598 655 676 715 845 1012 1196 1265 1310 1430 1441 1495 1690 1703 1859 2530 2620 2860 2882 2990 3013 3289 3380 3406 3718 3887 5060 5764 5980 6026 6578 6812 7205 7436 7774 8515 9295 12052 13156 14410 15065 15548 16445 17030 18590 18733 19435 22139 28820 30130 32890 33143 34060 37180 37466 38870 39169 42757 44278 60260 65780 66286 74932 77740 78338 85514 88556 93665 110695 132572 156676 165715 171028 187330 195845 213785 221390 243529 331430 374660 391690 427570 430859 442780 487058 509197 662860 783380 855140 861718 974116 1018394 1217645 1723436 2036788 2154295 2435290 2545985 4308590 4870580 5091970 5601167 8617180 10183940 11202334 22404668 28005835 56011670 112023340