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8422920 = 2333511709
BaseRepresentation
bin100000001000…
…011000001000
3120211221002000
4200020120020
54124013140
6500311000
7131410422
oct40103010
916757060
108422920
1148332a0
1229a2460
13198ba9c
141193812
15b15a30
hex808608

8422920 has 128 divisors (see below), whose sum is σ = 30672000. Its totient is φ = 2039040.

The previous prime is 8422913. The next prime is 8422927. The reversal of 8422920 is 292248.

It is an interprime number because it is at equal distance from previous prime (8422913) and next prime (8422927).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8422927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11526 + ... + 12234.

It is an arithmetic number, because the mean of its divisors is an integer number (239625).

Almost surely, 28422920 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 8422920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336000).

8422920 is an abundant number, since it is smaller than the sum of its proper divisors (22249080).

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

8422920 is a wasteful number, since it uses less digits than its factorization.

8422920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8422920 is about 2902.2267313220. The cubic root of 8422920 is about 203.4639907953.

The spelling of 8422920 in words is "eight million, four hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 709 792 990 1080 1188 1320 1418 1485 1980 2127 2376 2836 2970 3545 3960 4254 5672 5940 6381 7090 7799 8508 10635 11880 12762 14180 15598 17016 19143 21270 23397 25524 28360 31196 31905 38286 38995 42540 46794 51048 62392 63810 70191 76572 77990 85080 93588 95715 116985 127620 140382 153144 155980 187176 191430 210573 233970 255240 280764 311960 350955 382860 421146 467940 561528 701910 765720 842292 935880 1052865 1403820 1684584 2105730 2807640 4211460 8422920