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80605840 = 2457178467
BaseRepresentation
bin1001100110111…
…11001010010000
312121200012102111
410303133022100
5131113341330
611555355104
71666065310
oct463371220
9177605374
1080605840
11415553a7
1222bb2a94
1313913083
14a9c3440
15712332a
hex4cdf290

80605840 has 80 divisors (see below), whose sum is σ = 226806912. Its totient is φ = 26007552.

The previous prime is 80605831. The next prime is 80605849. The reversal of 80605840 is 4850608.

It is an interprime number because it is at equal distance from previous prime (80605831) and next prime (80605849).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (80605849) 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 15 ways as a sum of consecutive naturals, for example, 5287 + ... + 13753.

Almost surely, 280605840 is an apocalyptic number.

80605840 is a gapful number since it is divisible by the number (80) 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 80605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113403456).

80605840 is an abundant number, since it is smaller than the sum of its proper divisors (146201072).

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

80605840 is a wasteful number, since it uses less digits than its factorization.

80605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 80605840 is about 8978.0755176151. The cubic root of 80605840 is about 431.9719060377.

The spelling of 80605840 in words is "eighty million, six hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 8467 9520 16934 33868 42335 59269 67736 84670 118538 135472 143939 169340 237076 287878 296345 338680 474152 575756 592690 677360 719695 948304 1007573 1151512 1185380 1439390 2015146 2303024 2370760 2878780 4030292 4741520 5037865 5757560 8060584 10075730 11515120 16121168 20151460 40302920 80605840