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112340088 = 23337191389
BaseRepresentation
bin1101011001000…
…10110001111000
321211101110122000
412230202301320
5212224340323
615051501000
72532606060
oct654426170
9254343560
10112340088
115845a853
1231757760
131a374533
1410cc43a0
159ce0e43
hex6b22c78

112340088 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 31847040.

The previous prime is 112340083. The next prime is 112340093. The reversal of 112340088 is 880043211.

It is an interprime number because it is at equal distance from previous prime (112340083) and next prime (112340093).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112340083) by changing a digit.

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, 288598 + ... + 288986.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2112340088 is an apocalyptic number.

112340088 is a gapful number since it is divisible by the number (18) 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 112340088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

112340088 is an abundant number, since it is smaller than the sum of its proper divisors (247083912).

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

112340088 is a wasteful number, since it uses less digits than its factorization.

112340088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112340088 is about 10599.0607131009. The cubic root of 112340088 is about 482.5158529696.

Adding to 112340088 its reverse (880043211), we get a palindrome (992383299).

The spelling of 112340088 in words is "one hundred twelve million, three hundred forty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 191 216 252 378 382 389 504 573 756 764 778 1146 1167 1337 1512 1528 1556 1719 2292 2334 2674 2723 3112 3438 3501 4011 4584 4668 5157 5348 5446 6876 7002 8022 8169 9336 10314 10503 10696 10892 12033 13752 14004 16044 16338 20628 21006 21784 24066 24507 28008 32088 32676 36099 41256 42012 48132 49014 65352 72198 73521 74299 84024 96264 98028 144396 147042 148598 196056 222897 288792 294084 297196 445794 520093 588168 594392 668691 891588 1040186 1337382 1560279 1783176 2006073 2080372 2674764 3120558 4012146 4160744 4680837 5349528 6241116 8024292 9361674 12482232 14042511 16048584 18723348 28085022 37446696 56170044 112340088