[go: up one dir, main page]

Search a number
-
+
82080675 = 33521723311
BaseRepresentation
bin1001110010001…
…11001110100011
312201110010112000
410321013032203
5132003040200
612051135043
72014450155
oct471071643
9181403460
1082080675
1142372476
12235a4483
131400b461
14ac88ad5
157315300
hex4e473a3

82080675 has 96 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 39283200.

The previous prime is 82080637. The next prime is 82080697. The reversal of 82080675 is 57608028.

It is not a de Polignac number, because 82080675 - 26 = 82080611 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263770 + ... + 264080.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 282080675 is an apocalyptic number.

82080675 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82080675 is an abundant number, since it is smaller than the sum of its proper divisors (85051485).

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

82080675 is a wasteful number, since it uses less digits than its factorization.

82080675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82080675 is about 9059.8385747209. The cubic root of 82080675 is about 434.5905779119.

The spelling of 82080675 in words is "eighty-two million, eighty thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 17 23 25 27 45 51 69 75 85 115 135 153 207 225 255 311 345 391 425 459 575 621 675 765 933 1035 1173 1275 1555 1725 1955 2295 2799 3105 3519 3825 4665 5175 5287 5865 7153 7775 8397 9775 10557 11475 13995 15525 15861 17595 21459 23325 26435 29325 35765 41985 47583 52785 64377 69975 79305 87975 107295 121601 132175 142749 178825 193131 209925 237915 263925 321885 364803 396525 536475 608005 713745 965655 1094409 1189575 1609425 1824015 3040025 3283227 3568725 4828275 5472045 9120075 16416135 27360225 82080675