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112342440 = 23357197039
BaseRepresentation
bin1101011001000…
…11010110101000
321211101120212010
412230203112220
5212224424230
615051515520
72532615660
oct654432650
9254346763
10112342440
11584615a1
1231758ba0
131a375622
1410cc51a0
159ce19b0
hex6b235a8

112342440 has 128 divisors (see below), whose sum is σ = 405504000. Its totient is φ = 24323328.

The previous prime is 112342429. The next prime is 112342463. The reversal of 112342440 is 44243211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12441 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (3168000).

Almost surely, 2112342440 is an apocalyptic number.

112342440 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 112342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202752000).

112342440 is an abundant number, since it is smaller than the sum of its proper divisors (293161560).

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

112342440 is a wasteful number, since it uses less digits than its factorization.

112342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 112342440 is about 10599.1716657482. The cubic root of 112342440 is about 482.5192203320.

Adding to 112342440 its reverse (44243211), we get a palindrome (156585651).

The spelling of 112342440 in words is "one hundred twelve million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7039 7980 14078 15960 21117 28156 35195 42234 49273 56312 70390 84468 98546 105585 133741 140780 147819 168936 197092 211170 246365 267482 281560 295638 394184 401223 422340 492730 534964 591276 668705 739095 802446 844680 936187 985460 1069928 1182552 1337410 1478190 1604892 1872374 1970920 2006115 2674820 2808561 2956380 3209784 3744748 4012230 4680935 5349640 5617122 5912760 7489496 8024460 9361870 11234244 14042805 16048920 18723740 22468488 28085610 37447480 56171220 112342440