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10283232 = 253176301
BaseRepresentation
bin100111001110…
…100011100000
3201100102221110
4213032203200
510113030412
61004223320
7153256161
oct47164340
921312843
1010283232
115893a43
12353ab40
13219076b
141519768
15d81d3c
hex9ce8e0

10283232 has 48 divisors (see below), whose sum is σ = 28585872. Its totient is φ = 3225600.

The previous prime is 10283209. The next prime is 10283239. The reversal of 10283232 is 23238201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10283199 and 10283208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10283239) 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 7 ways as a sum of consecutive naturals, for example, 1519 + ... + 4782.

It is an arithmetic number, because the mean of its divisors is an integer number (595539).

Almost surely, 210283232 is an apocalyptic number.

10283232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10283232 is an abundant number, since it is smaller than the sum of its proper divisors (18302640).

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

10283232 is a wasteful number, since it uses less digits than its factorization.

10283232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10283232 is about 3206.7478853193. The cubic root of 10283232 is about 217.4585784510.

It can be divided in two parts, 102 and 83232, that multiplied together give a cube (8489664 = 2043).

The spelling of 10283232 in words is "ten million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6301 12602 18903 25204 37806 50408 75612 100816 107117 151224 201632 214234 302448 321351 428468 604896 642702 856936 1285404 1713872 2570808 3427744 5141616 10283232