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112049400 = 23352432101
BaseRepresentation
bin1101010110110…
…11110011111000
321210211200212210
412223123303320
5212141040100
615041335120
72530255431
oct653336370
9253750783
10112049400
1158281411
12316374a0
131a2a2128
1410c4a488
159c84c50
hex6adbcf8

112049400 has 144 divisors (see below), whose sum is σ = 359139960. Its totient is φ = 28896000.

The previous prime is 112049389. The next prime is 112049411. The reversal of 112049400 is 4940211.

It is an interprime number because it is at equal distance from previous prime (112049389) and next prime (112049411).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1109350 + ... + 1109450.

Almost surely, 2112049400 is an apocalyptic number.

112049400 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 112049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179569980).

112049400 is an abundant number, since it is smaller than the sum of its proper divisors (247090560).

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

112049400 is a wasteful number, since it uses less digits than its factorization.

112049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 112049400 is about 10585.3389175784. The cubic root of 112049400 is about 482.0993120775.

Adding to 112049400 its reverse (4940211), we get a palindrome (116989611).

The spelling of 112049400 in words is "one hundred twelve million, forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 101 120 129 150 172 200 202 215 258 300 303 344 404 430 505 516 600 606 645 808 860 1010 1032 1075 1212 1290 1515 1720 1849 2020 2150 2424 2525 2580 3030 3225 3698 4040 4300 4343 5050 5160 5547 6060 6450 7396 7575 8600 8686 9245 10100 11094 12120 12900 13029 14792 15150 17372 18490 20200 21715 22188 25800 26058 27735 30300 34744 36980 43430 44376 46225 52116 55470 60600 65145 73960 86860 92450 104232 108575 110940 130290 138675 173720 184900 186749 217150 221880 260580 277350 325725 369800 373498 434300 521160 554700 560247 651450 746996 868600 933745 1109400 1120494 1302900 1493992 1867490 2240988 2605800 2801235 3734980 4481976 4668725 5602470 7469960 9337450 11204940 14006175 18674900 22409880 28012350 37349800 56024700 112049400