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112340040 = 233561103149
BaseRepresentation
bin1101011001000…
…10110001001000
321211101110120020
412230202301020
5212224340130
615051500440
72532605661
oct654426110
9254343506
10112340040
115845a80a
1231757720
131a3744c7
1410cc4368
159ce0e10
hex6b22c48

112340040 has 128 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 28984320.

The previous prime is 112340023. The next prime is 112340047. The reversal of 112340040 is 40043211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (112340047) 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, 753886 + ... + 754034.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2112340040 is an apocalyptic number.

112340040 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 112340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

112340040 is an abundant number, since it is smaller than the sum of its proper divisors (235851960).

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

112340040 is a wasteful number, since it uses less digits than its factorization.

112340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112340040 is about 10599.0584487491. The cubic root of 112340040 is about 482.5157842474.

Adding to 112340040 its reverse (40043211), we get a palindrome (152383251).

The spelling of 112340040 in words is "one hundred twelve million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 103 120 122 149 183 206 244 298 305 309 366 412 447 488 515 596 610 618 732 745 824 894 915 1030 1192 1220 1236 1464 1490 1545 1788 1830 2060 2235 2440 2472 2980 3090 3576 3660 4120 4470 5960 6180 6283 7320 8940 9089 12360 12566 15347 17880 18178 18849 25132 27267 30694 31415 36356 37698 45445 46041 50264 54534 61388 62830 72712 75396 76735 90890 92082 94245 109068 122776 125660 136335 150792 153470 181780 184164 188490 218136 230205 251320 272670 306940 363560 368328 376980 460410 545340 613880 753960 920820 936167 1090680 1841640 1872334 2808501 3744668 4680835 5617002 7489336 9361670 11234004 14042505 18723340 22468008 28085010 37446680 56170020 112340040