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112730046 = 231113375367
BaseRepresentation
bin1101011100000…
…01111110111110
321212010021112220
412232001332332
5212324330141
615104110210
72536122012
oct656017676
9255107486
10112730046
11586a6830
1231905366
131a47cb90
1410d86542
159d6b766
hex6b81fbe

112730046 has 128 divisors (see below), whose sum is σ = 281304576. Its totient is φ = 29652480.

The previous prime is 112730041. The next prime is 112730063. The reversal of 112730046 is 640037211.

It is a junction number, because it is equal to n+sod(n) for n = 112729998 and 112730025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112730041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682505 + ... + 1682571.

It is an arithmetic number, because the mean of its divisors is an integer number (2197692).

Almost surely, 2112730046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112730046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288).

112730046 is an abundant number, since it is smaller than the sum of its proper divisors (168574530).

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

112730046 is a wasteful number, since it uses less digits than its factorization.

112730046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 112730046 is about 10617.4406520592. The cubic root of 112730046 is about 483.0735156371.

Adding to 112730046 its reverse (640037211), we get a palindrome (752767257).

The spelling of 112730046 in words is "one hundred twelve million, seven hundred thirty thousand, forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 53 66 67 74 78 106 111 134 143 159 201 222 286 318 402 407 429 481 583 689 737 814 858 871 962 1166 1221 1378 1443 1474 1742 1749 1961 2067 2211 2442 2479 2613 2886 3498 3551 3922 4134 4422 4958 5226 5291 5883 7102 7437 7579 9581 10582 10653 11766 14874 15158 15873 19162 21306 21571 22737 25493 27269 28743 31746 32227 39061 43142 45474 46163 50986 54538 57486 64454 64713 76479 78122 81807 92326 96681 117183 129426 131387 138489 152958 163614 193362 234366 262774 276978 280423 354497 394161 507793 560846 708994 788322 841269 1015586 1063491 1445257 1523379 1682538 1708031 2126982 2890514 3046758 3416062 4335771 5124093 8671542 10248186 18788341 37576682 56365023 112730046