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8212680 = 2332573259
BaseRepresentation
bin11111010101000011001000
3120110020200100
4133111003020
54100301210
6452005400
7126543450
oct37250310
916406610
108212680
1146aa343
122900860
131917198
14113ad60
15ac35c0
hex7d50c8

8212680 has 96 divisors (see below), whose sum is σ = 30513600. Its totient is φ = 1876608.

The previous prime is 8212667. The next prime is 8212681. The reversal of 8212680 is 862128.

It is a super-2 number, since 2×82126802 = 134896225564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8212681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891 + ... + 4149.

It is an arithmetic number, because the mean of its divisors is an integer number (317850).

Almost surely, 28212680 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 8212680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256800).

8212680 is an abundant number, since it is smaller than the sum of its proper divisors (22300920).

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

8212680 is a wasteful number, since it uses less digits than its factorization.

8212680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8212680 is about 2865.7773814447. Note that the first 3 decimals coincide. The cubic root of 8212680 is about 201.7568554398.

The spelling of 8212680 in words is "eight million, two hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 3259 6518 9777 13036 16295 19554 22813 26072 29331 32590 39108 45626 48885 58662 65180 68439 78216 91252 97770 114065 117324 130360 136878 146655 182504 195540 205317 228130 234648 273756 293310 342195 391080 410634 456260 547512 586620 684390 821268 912520 1026585 1173240 1368780 1642536 2053170 2737560 4106340 8212680