Search a number
-
+
672182112 = 25378911239
BaseRepresentation
bin101000000100001…
…010111101100000
31201211211101111210
4220010022331200
52334034311422
6150411110120
722441311420
oct5004127540
91654741453
10672182112
1131547a408
12169142340
13a934c6c4
14653b6480
153e02a10c
hex2810af60

672182112 has 96 divisors (see below), whose sum is σ = 2039385600. Its totient is φ = 189877248.

The previous prime is 672182081. The next prime is 672182113. The reversal of 672182112 is 211281276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 672182112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672182113) 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, 54189 + ... + 65427.

It is an arithmetic number, because the mean of its divisors is an integer number (21243600).

Almost surely, 2672182112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019692800).

672182112 is an abundant number, since it is smaller than the sum of its proper divisors (1367203488).

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

672182112 is a wasteful number, since it uses less digits than its factorization.

672182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348 (or 11340 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 672182112 is about 25926.4751171462. The cubic root of 672182112 is about 875.9829441436.

The spelling of 672182112 in words is "six hundred seventy-two million, one hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9968 11239 14952 19936 22478 29904 33717 44956 59808 67434 78673 89912 134868 157346 179824 236019 269736 314692 359648 472038 539472 629384 944076 1000271 1078944 1258768 1888152 2000542 2517536 3000813 3776304 4001084 6001626 7001897 7552608 8002168 12003252 14003794 16004336 21005691 24006504 28007588 32008672 42011382 48013008 56015176 84022764 96026016 112030352 168045528 224060704 336091056 672182112