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112320040 = 235723107163
BaseRepresentation
bin1101011000111…
…01111000101000
321211100110010111
412230131320220
5212223220130
615051224104
72532463450
oct654357050
9254313114
10112320040
1158446788
1231748034
131a368381
1410cbad60
159cda02a
hex6b1de28

112320040 has 128 divisors (see below), whose sum is σ = 306063360. Its totient is φ = 36267264.

The previous prime is 112320029. The next prime is 112320041. The reversal of 112320040 is 40023211.

It is a self number, because there is not a number n which added to its sum of digits gives 112320040.

It is not an unprimeable number, because it can be changed into a prime (112320041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688999 + ... + 689161.

It is an arithmetic number, because the mean of its divisors is an integer number (2391120).

Almost surely, 2112320040 is an apocalyptic number.

112320040 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 112320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153031680).

112320040 is an abundant number, since it is smaller than the sum of its proper divisors (193743320).

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

112320040 is a wasteful number, since it uses less digits than its factorization.

112320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 112320040 is about 10598.1149267216. The cubic root of 112320040 is about 482.4871483060.

Adding to 112320040 its reverse (40023211), we get a palindrome (152343251).

The spelling of 112320040 in words is "one hundred twelve million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 107 115 140 161 163 184 214 230 280 322 326 428 460 535 644 652 749 805 815 856 920 1070 1141 1288 1304 1498 1610 1630 2140 2282 2461 2996 3220 3260 3745 3749 4280 4564 4922 5705 5992 6440 6520 7490 7498 9128 9844 11410 12305 14980 14996 17227 17441 18745 19688 22820 24610 26243 29960 29992 34454 34882 37490 45640 49220 52486 68908 69764 74980 86135 87205 98440 104972 122087 131215 137816 139528 149960 172270 174410 209944 244174 262430 344540 348820 401143 488348 524860 610435 689080 697640 802286 976696 1049720 1220870 1604572 2005715 2441740 2808001 3209144 4011430 4883480 5616002 8022860 11232004 14040005 16045720 22464008 28080010 56160020 112320040