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80210120 = 2356171463
BaseRepresentation
bin1001100011111…
…10100011001000
312120221002121012
410301332203020
5131013210440
611543103052
71662526514
oct461764310
9176832535
1080210120
1141305061
1222a41a88
1313804c13
14a91d144
157095e65
hex4c7e8c8

80210120 has 64 divisors (see below), whose sum is σ = 186416640. Its totient is φ = 31046400.

The previous prime is 80210111. The next prime is 80210167. The reversal of 80210120 is 2101208.

It is a junction number, because it is equal to n+sod(n) for n = 80210095 and 80210104.

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, 173009 + ... + 173471.

It is an arithmetic number, because the mean of its divisors is an integer number (2912760).

Almost surely, 280210120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

80210120 is an abundant number, since it is smaller than the sum of its proper divisors (106206520).

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

80210120 is a wasteful number, since it uses less digits than its factorization.

80210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 80210120 is about 8956.0102724372. The cubic root of 80210120 is about 431.2638497267.

Adding to 80210120 its reverse (2101208), we get a palindrome (82311328).

The spelling of 80210120 in words is "eighty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 71 122 142 244 284 305 355 463 488 568 610 710 926 1220 1420 1852 2315 2440 2840 3704 4331 4630 8662 9260 17324 18520 21655 28243 32873 34648 43310 56486 65746 86620 112972 131492 141215 164365 173240 225944 262984 282430 328730 564860 657460 1129720 1314920 2005253 4010506 8021012 10026265 16042024 20052530 40105060 80210120