Search a number
-
+
182030976 = 273497181
BaseRepresentation
bin10101101100110…
…01001010000000
3110200112010120000
422312121022000
5333044442401
630021320000
74340144361
oct1266311200
9420463500
10182030976
119382a626
1250b66000
132b93544a
141a265b68
1510eaa186
hexad99280

182030976 has 160 divisors (see below), whose sum is σ = 550329780. Its totient is φ = 59719680.

The previous prime is 182030929. The next prime is 182030983. The reversal of 182030976 is 679030281.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 23270976 = 12600^2 + 4824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 182030976.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1005606 + ... + 1005786.

Almost surely, 2182030976 is an apocalyptic number.

182030976 is a gapful number since it is divisible by the number (16) 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 182030976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275164890).

182030976 is an abundant number, since it is smaller than the sum of its proper divisors (368298804).

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

182030976 is an equidigital number, since it uses as much as digits as its factorization.

182030976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 182030976 is about 13491.8855613291. The cubic root of 182030976 is about 566.7372596407.

The spelling of 182030976 in words is "one hundred eighty-two million, thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 181 192 194 216 288 291 324 362 384 388 432 543 576 582 648 724 776 864 873 1086 1152 1164 1296 1448 1552 1629 1728 1746 2172 2328 2592 2619 2896 3104 3258 3456 3492 4344 4656 4887 5184 5238 5792 6208 6516 6984 7857 8688 9312 9774 10368 10476 11584 12416 13032 13968 14661 15714 17376 17557 18624 19548 20952 23168 26064 27936 29322 31428 34752 35114 37248 39096 41904 52128 52671 55872 58644 62856 69504 70228 78192 83808 104256 105342 111744 117288 125712 140456 156384 158013 167616 208512 210684 234576 251424 280912 312768 316026 335232 421368 469152 474039 502848 561824 625536 632052 842736 938304 948078 1005696 1123648 1264104 1422117 1685472 1876608 1896156 2247296 2528208 2844234 3370944 3792312 5056416 5688468 6741888 7584624 10112832 11376936 15169248 20225664 22753872 30338496 45507744 60676992 91015488 182030976