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112341440 = 26517107193
BaseRepresentation
bin1101011001000…
…11000111000000
321211101112111002
412230203013000
5212224411230
615051511132
72532613031
oct654430700
9254345432
10112341440
1158460872
12317584a8
131a375033
1410cc4a88
159ce1545
hex6b231c0

112341440 has 112 divisors (see below), whose sum is σ = 287377632. Its totient is φ = 41680896.

The previous prime is 112341419. The next prime is 112341461. The reversal of 112341440 is 44143211.

It is an interprime number because it is at equal distance from previous prime (112341419) and next prime (112341461).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 581984 + ... + 582176.

Almost surely, 2112341440 is an apocalyptic number.

112341440 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 112341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143688816).

112341440 is an abundant number, since it is smaller than the sum of its proper divisors (175036192).

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

112341440 is a wasteful number, since it uses less digits than its factorization.

112341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 112341440 is about 10599.1244921456. The cubic root of 112341440 is about 482.5177886360.

Adding to 112341440 its reverse (44143211), we get a palindrome (156484651).

The spelling of 112341440 in words is "one hundred twelve million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 107 136 160 170 193 214 272 320 340 386 428 535 544 680 772 856 965 1070 1088 1360 1544 1712 1819 1930 2140 2720 3088 3281 3424 3638 3860 4280 5440 6176 6562 6848 7276 7720 8560 9095 12352 13124 14552 15440 16405 17120 18190 20651 26248 29104 30880 32810 34240 36380 41302 52496 58208 61760 65620 72760 82604 103255 104992 116416 131240 145520 165208 206510 209984 262480 291040 330416 351067 413020 524960 582080 660832 702134 826040 1049920 1321664 1404268 1652080 1755335 2808536 3304160 3510670 5617072 6608320 7021340 11234144 14042680 22468288 28085360 56170720 112341440