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10280000 = 2654257
BaseRepresentation
bin100111001101…
…110001000000
3201100021111202
4213031301000
510112430000
61004200332
7153243563
oct47156100
921307452
1010280000
115891575
1235390a8
13218c153
1415184da
15d80dd5
hex9cdc40

10280000 has 70 divisors (see below), whose sum is σ = 25590246. Its totient is φ = 4096000.

The previous prime is 10279991. The next prime is 10280027. The reversal of 10280000 is 8201.

It can be written as a sum of positive squares in 5 ways, for example, as 1183744 + 9096256 = 1088^2 + 3016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39872 + ... + 40128.

Almost surely, 210280000 is an apocalyptic number.

10280000 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 10280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12795123).

10280000 is an abundant number, since it is smaller than the sum of its proper divisors (15310246).

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

10280000 is an frugal number, since it uses more digits than its factorization.

10280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10280000 is about 3206.2439083763. The cubic root of 10280000 is about 217.4357937931.

Adding to 10280000 its reverse (8201), we get a palindrome (10288201).

The spelling of 10280000 in words is "ten million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 257 320 400 500 514 625 800 1000 1028 1250 1285 1600 2000 2056 2500 2570 4000 4112 5000 5140 6425 8000 8224 10000 10280 12850 16448 20000 20560 25700 32125 40000 41120 51400 64250 82240 102800 128500 160625 205600 257000 321250 411200 514000 642500 1028000 1285000 2056000 2570000 5140000 10280000