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80854320 = 24352911617
BaseRepresentation
bin1001101000110…
…11110100110000
312122010211021110
410310123310300
5131144314240
612004553320
72001151611
oct464336460
9178124243
1080854320
1141705058
12230b2840
131399c1c1
14aa49c08
157171c80
hex4d1bd30

80854320 has 80 divisors (see below), whose sum is σ = 259313760. Its totient is φ = 20815872.

The previous prime is 80854273. The next prime is 80854343. The reversal of 80854320 is 2345808.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 12768.

It is an arithmetic number, because the mean of its divisors is an integer number (3241422).

Almost surely, 280854320 is an apocalyptic number.

80854320 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 80854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129656880).

80854320 is an abundant number, since it is smaller than the sum of its proper divisors (178459440).

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

80854320 is a wasteful number, since it uses less digits than its factorization.

80854320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11662 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 80854320 is about 8991.9030243881. The cubic root of 80854320 is about 432.4153241739.

The spelling of 80854320 in words is "eighty million, eight hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 11617 23234 34851 46468 58085 69702 92936 116170 139404 174255 185872 232340 278808 336893 348510 464680 557616 673786 697020 929360 1010679 1347572 1394040 1684465 2021358 2695144 2788080 3368930 4042716 5053395 5390288 6737860 8085432 10106790 13475720 16170864 20213580 26951440 40427160 80854320