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10422000 = 243353193
BaseRepresentation
bin100111110000…
…011011110000
3201121111022000
4213300123300
510132001000
61011214000
7154404561
oct47603360
921544260
1010422000
115979226
1235a7300
13220b984
141554168
15dad000
hex9f06f0

10422000 has 160 divisors (see below), whose sum is σ = 37527360. Its totient is φ = 2764800.

The previous prime is 10421981. The next prime is 10422017. The reversal of 10422000 is 22401.

10422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53904 + ... + 54096.

It is an arithmetic number, because the mean of its divisors is an integer number (234546).

Almost surely, 210422000 is an apocalyptic number.

10422000 is a gapful number since it is divisible by the number (10) 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 10422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763680).

10422000 is an abundant number, since it is smaller than the sum of its proper divisors (27105360).

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

10422000 is a wasteful number, since it uses less digits than its factorization.

10422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10422000 is about 3228.3122525555. The cubic root of 10422000 is about 218.4323825912.

Adding to 10422000 its reverse (22401), we get a palindrome (10444401).

The spelling of 10422000 in words is "ten million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 193 200 216 225 240 250 270 300 360 375 386 400 432 450 500 540 579 600 675 720 750 772 900 965 1000 1080 1125 1158 1200 1350 1500 1544 1737 1800 1930 2000 2160 2250 2316 2700 2895 3000 3088 3375 3474 3600 3860 4500 4632 4825 5211 5400 5790 6000 6750 6948 7720 8685 9000 9264 9650 10422 10800 11580 13500 13896 14475 15440 17370 18000 19300 20844 23160 24125 26055 27000 27792 28950 34740 38600 41688 43425 46320 48250 52110 54000 57900 69480 72375 77200 83376 86850 96500 104220 115800 130275 138960 144750 173700 193000 208440 217125 231600 260550 289500 347400 386000 416880 434250 521100 579000 651375 694800 868500 1042200 1158000 1302750 1737000 2084400 2605500 3474000 5211000 10422000