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182607138 = 23271983919
BaseRepresentation
bin10101110001001…
…01110100100010
3110201121101220100
422320211310202
5333221412023
630041523230
74345064220
oct1270456442
9421541810
10182607138
119409349a
12511a3516
132baa777c
141a375b10
1511070c43
hexae25d22

182607138 has 96 divisors (see below), whose sum is σ = 482227200. Its totient is φ = 48778848.

The previous prime is 182607137. The next prime is 182607151. The reversal of 182607138 is 831706281.

182607138 is a `hidden beast` number, since 18 + 2 + 607 + 1 + 38 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (182607137) 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 47 ways as a sum of consecutive naturals, for example, 198243 + ... + 199161.

It is an arithmetic number, because the mean of its divisors is an integer number (5023200).

Almost surely, 2182607138 is an apocalyptic number.

182607138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182607138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

182607138 is an abundant number, since it is smaller than the sum of its proper divisors (299620062).

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

182607138 is a wasteful number, since it uses less digits than its factorization.

182607138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 182607138 is about 13513.2208595878. The cubic root of 182607138 is about 567.3345729343.

The spelling of 182607138 in words is "one hundred eighty-two million, six hundred seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 83 114 126 133 166 171 249 266 342 399 498 581 747 798 919 1162 1197 1494 1577 1743 1838 2394 2757 3154 3486 4731 5229 5514 6433 8271 9462 10458 11039 12866 14193 16542 17461 19299 22078 28386 33117 34922 38598 52383 57897 66234 76277 99351 104766 115794 122227 152554 157149 198702 228831 244454 314298 366681 457662 533939 686493 733362 1067878 1100043 1372986 1449263 1601817 2200086 2898526 3203634 4347789 4805451 8695578 9610902 10144841 13043367 20289682 26086734 30434523 60869046 91303569 182607138