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10235240 = 23541792
BaseRepresentation
bin100111000010…
…110101101000
3201021000002222
4213002311220
510110011430
61003213212
7152666231
oct47026550
921230088
1010235240
115860984
123517208
132174972
141506088
15d729e5
hex9c2d68

10235240 has 48 divisors (see below), whose sum is σ = 23893380. Its totient is φ = 3943680.

The previous prime is 10235227. The next prime is 10235249. The reversal of 10235240 is 4253201.

It can be written as a sum of positive squares in 2 ways, for example, as 9012004 + 1223236 = 3002^2 + 1106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235249) 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 11 ways as a sum of consecutive naturals, for example, 129521 + ... + 129599.

Almost surely, 210235240 is an apocalyptic number.

10235240 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 10235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946690).

10235240 is an abundant number, since it is smaller than the sum of its proper divisors (13658140).

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

10235240 is an equidigital number, since it uses as much as digits as its factorization.

10235240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10235240 is about 3199.2561635480. The cubic root of 10235240 is about 217.1197566443.

Adding to 10235240 its reverse (4253201), we get a palindrome (14488441).

The spelling of 10235240 in words is "ten million, two hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6241 6478 12482 12956 16195 24964 25912 31205 32390 49928 62410 64780 124820 129560 249640 255881 511762 1023524 1279405 2047048 2558810 5117620 10235240