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112330416 = 24311792693
BaseRepresentation
bin1101011001000…
…00011010110000
321211100222100210
412230200122300
5212224033131
615051344120
72532535632
oct654403260
9254328323
10112330416
1158453560
1231752040
131a370003
1410cc0a52
159cdd146
hex6b206b0

112330416 has 80 divisors (see below), whose sum is σ = 320693760. Its totient is φ = 33596160.

The previous prime is 112330397. The next prime is 112330417. The reversal of 112330416 is 614033211.

It is a junction number, because it is equal to n+sod(n) for n = 112330392 and 112330401.

It is not an unprimeable number, because it can be changed into a prime (112330417) 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 15 ways as a sum of consecutive naturals, for example, 40366 + ... + 43058.

It is an arithmetic number, because the mean of its divisors is an integer number (4008672).

Almost surely, 2112330416 is an apocalyptic number.

112330416 is a gapful number since it is divisible by the number (16) 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 112330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160346880).

112330416 is an abundant number, since it is smaller than the sum of its proper divisors (208363344).

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

112330416 is a wasteful number, since it uses less digits than its factorization.

112330416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 112330416 is about 10598.6044364341. The cubic root of 112330416 is about 482.5020050567.

Adding to 112330416 its reverse (614033211), we get a palindrome (726363627).

The spelling of 112330416 in words is "one hundred twelve million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2607 2693 3476 3792 5214 5386 6952 8079 10428 10772 13904 16158 20856 21544 29623 32316 41712 43088 59246 64632 88869 118492 129264 177738 212747 236984 355476 425494 473968 638241 710952 850988 1276482 1421904 1701976 2340217 2552964 3403952 4680434 5105928 7020651 9360868 10211856 14041302 18721736 28082604 37443472 56165208 112330416