Search a number
-
+
116049000 = 23353101383
BaseRepresentation
bin1101110101011…
…00010001101000
322002100220022010
412322230101220
5214202032000
615303155520
72606254164
oct672542150
9262326263
10116049000
115a563371
1232a45ba0
131b072762
14115abca4
15a2c4d50
hex6eac468

116049000 has 128 divisors (see below), whose sum is σ = 366612480. Its totient is φ = 30560000.

The previous prime is 116048963. The next prime is 116049019. The reversal of 116049000 is 940611.

It is an unprimeable number.

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, 302809 + ... + 303191.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2116049000 is an apocalyptic number.

116049000 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 116049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

116049000 is an abundant number, since it is smaller than the sum of its proper divisors (250563480).

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

116049000 is a wasteful number, since it uses less digits than its factorization.

116049000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 116049000 is about 10772.6041419891. The cubic root of 116049000 is about 487.7685568282.

Adding to 116049000 its reverse (940611), we get a palindrome (116989611).

The spelling of 116049000 in words is "one hundred sixteen million, forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 383 404 500 505 600 606 750 766 808 1000 1010 1149 1212 1500 1515 1532 1915 2020 2298 2424 2525 3000 3030 3064 3830 4040 4596 5050 5745 6060 7575 7660 9192 9575 10100 11490 12120 12625 15150 15320 19150 20200 22980 25250 28725 30300 37875 38300 38683 45960 47875 50500 57450 60600 75750 76600 77366 95750 101000 114900 116049 143625 151500 154732 191500 193415 229800 232098 287250 303000 309464 383000 386830 464196 574500 580245 773660 928392 967075 1149000 1160490 1547320 1934150 2320980 2901225 3868300 4641960 4835375 5802450 7736600 9670750 11604900 14506125 19341500 23209800 29012250 38683000 58024500 116049000