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80692020 = 22325617349
BaseRepresentation
bin1001100111101…
…00001100110100
312121211120122100
410303310030310
5131124121040
612001302100
71666604463
oct463641464
9177746570
1080692020
1141604122
1223034930
1313943376
14aa069da
15713db30
hex4cf4334

80692020 has 72 divisors (see below), whose sum is σ = 248812200. Its totient is φ = 21162240.

The previous prime is 80691991. The next prime is 80692049. The reversal of 80692020 is 2029608.

It is an interprime number because it is at equal distance from previous prime (80691991) and next prime (80692049).

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 79602084 = 1044^2 + 8922^2 .

It is a super-2 number, since 2×806920202 = 13022404183360800, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7306 + ... + 14654.

It is an arithmetic number, because the mean of its divisors is an integer number (3455725).

Almost surely, 280692020 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 80692020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124406100).

80692020 is an abundant number, since it is smaller than the sum of its proper divisors (168120180).

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

80692020 is a wasteful number, since it uses less digits than its factorization.

80692020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80692020 is about 8982.8737050011. The cubic root of 80692020 is about 432.1257992688.

The spelling of 80692020 in words is "eighty million, six hundred ninety-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 7349 10980 14698 22047 29396 36745 44094 66141 73490 88188 110235 132282 146980 220470 264564 330705 440940 448289 661410 896578 1322820 1344867 1793156 2241445 2689734 4034601 4482890 5379468 6724335 8069202 8965780 13448670 16138404 20173005 26897340 40346010 80692020