Search a number
-
+
104783112 = 23337371873
BaseRepresentation
bin1100011111011…
…01110100001000
321022011112102000
412033231310020
5203311024422
614221511000
72411433060
oct617556410
9238145360
10104783112
1154169115
122b112460
1318929955
14dcb83a0
1592ebcac
hex63edd08

104783112 has 128 divisors (see below), whose sum is σ = 341817600. Its totient is φ = 29113344.

The previous prime is 104783093. The next prime is 104783123. The reversal of 104783112 is 211387401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55008 + ... + 56880.

It is an arithmetic number, because the mean of its divisors is an integer number (2670450).

Almost surely, 2104783112 is an apocalyptic number.

104783112 is a gapful number since it is divisible by the number (12) 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 104783112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170908800).

104783112 is an abundant number, since it is smaller than the sum of its proper divisors (237034488).

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

104783112 is a wasteful number, since it uses less digits than its factorization.

104783112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104783112 is about 10236.3622444695. The cubic root of 104783112 is about 471.4443451629. Note that the first 3 decimals are identical.

The spelling of 104783112 in words is "one hundred four million, seven hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1873 1998 2072 2331 2664 3108 3746 3996 4662 5619 6216 6993 7492 7992 9324 11238 13111 13986 14984 16857 18648 22476 26222 27972 33714 39333 44952 50571 52444 55944 67428 69301 78666 101142 104888 117999 134856 138602 157332 202284 207903 235998 277204 314664 353997 404568 415806 471996 485107 554408 623709 707994 831612 943992 970214 1247418 1415988 1455321 1663224 1871127 1940428 2494836 2831976 2910642 3742254 3880856 4365963 4989672 5821284 7484508 8731926 11642568 13097889 14969016 17463852 26195778 34927704 52391556 104783112