Search a number
-
+
182125146 = 23719241947
BaseRepresentation
bin10101101101100…
…00001001011010
3110200200220201210
422312300021122
5333111001041
630023323550
74341016050
oct1266601132
9420626653
10182125146
1193894355
1250bb05b6
132b969278
141a28c1d0
1510ec8016
hexadb025a

182125146 has 64 divisors (see below), whose sum is σ = 440478720. Its totient is φ = 49040640.

The previous prime is 182125129. The next prime is 182125147. The reversal of 182125146 is 641521281.

It is not an unprimeable number, because it can be changed into a prime (182125147) by changing a digit.

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, 191845 + ... + 192791.

It is an arithmetic number, because the mean of its divisors is an integer number (6882480).

Almost surely, 2182125146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182125146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220239360).

182125146 is an abundant number, since it is smaller than the sum of its proper divisors (258353574).

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

182125146 is a wasteful number, since it uses less digits than its factorization.

182125146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219.

The product of its digits is 3840, while the sum is 30.

The square root of 182125146 is about 13495.3749855274. The cubic root of 182125146 is about 566.8349727668.

The spelling of 182125146 in words is "one hundred eighty-two million, one hundred twenty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 241 266 399 482 723 798 947 1446 1687 1894 2841 3374 4579 5061 5682 6629 9158 10122 13258 13737 17993 19887 27474 32053 35986 39774 53979 64106 96159 107958 125951 192318 228227 251902 377853 456454 684681 755706 1369362 1597589 3195178 4336313 4792767 8672626 9585534 13008939 26017878 30354191 60708382 91062573 182125146