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82966080 = 263586423
BaseRepresentation
bin1001111000111…
…11011001000000
312210010010001210
410330133121000
5132214403310
612122130120
72025125421
oct474373100
9183103053
1082966080
114291770a
1223950940
131425b472
14b039648
15743c820
hex4f1f640

82966080 has 56 divisors (see below), whose sum is σ = 263420352. Its totient is φ = 22124032.

The previous prime is 82966073. The next prime is 82966097. The reversal of 82966080 is 8066928.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42252 + ... + 44171.

Almost surely, 282966080 is an apocalyptic number.

82966080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82966080 is an abundant number, since it is smaller than the sum of its proper divisors (180454272).

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

82966080 is a wasteful number, since it uses less digits than its factorization.

82966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86443 (or 86433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 82966080 is about 9108.5717870586. The cubic root of 82966080 is about 436.1476367849.

The spelling of 82966080 in words is "eighty-two million, nine hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 86423 172846 259269 345692 432115 518538 691384 864230 1037076 1296345 1382768 1728460 2074152 2592690 2765536 3456920 4148304 5185380 5531072 6913840 8296608 10370760 13827680 16593216 20741520 27655360 41483040 82966080