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10235000 = 23542389
BaseRepresentation
bin100111000010…
…110001111000
3201020222210002
4213002301320
510110010000
61003212132
7152665436
oct47026170
921228702
1010235000
115860786
123517048
132174819
141505d56
15d728d5
hex9c2c78

10235000 has 80 divisors (see below), whose sum is σ = 25304400. Its totient is φ = 3872000.

The previous prime is 10234997. The next prime is 10235009. The reversal of 10235000 is 53201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235009) 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 19 ways as a sum of consecutive naturals, for example, 114956 + ... + 115044.

It is an arithmetic number, because the mean of its divisors is an integer number (316305).

Almost surely, 210235000 is an apocalyptic number.

10235000 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 10235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652200).

10235000 is an abundant number, since it is smaller than the sum of its proper divisors (15069400).

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

10235000 is an equidigital number, since it uses as much as digits as its factorization.

10235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 10235000 is about 3199.2186546093. The cubic root of 10235000 is about 217.1180595940.

Adding to 10235000 its reverse (53201), we get a palindrome (10288201).

The spelling of 10235000 in words is "ten million, two hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 89 92 100 115 125 178 184 200 230 250 356 445 460 500 575 625 712 890 920 1000 1150 1250 1780 2047 2225 2300 2500 2875 3560 4094 4450 4600 5000 5750 8188 8900 10235 11125 11500 14375 16376 17800 20470 22250 23000 28750 40940 44500 51175 55625 57500 81880 89000 102350 111250 115000 204700 222500 255875 409400 445000 511750 1023500 1279375 2047000 2558750 5117500 10235000