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10082232 = 233415559
BaseRepresentation
bin100110011101…
…011110111000
3200222020020000
4212131132320
510040112412
61000033000
7151461156
oct46353670
920866200
1010082232
115766a26
123462760
132120124
1414a63d6
15d424dc
hex99d7b8

10082232 has 40 divisors (see below), whose sum is σ = 28241400. Its totient is φ = 3360528.

The previous prime is 10082231. The next prime is 10082273. The reversal of 10082232 is 23228001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082231) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7132 + ... + 8427.

It is an arithmetic number, because the mean of its divisors is an integer number (706035).

Almost surely, 210082232 is an apocalyptic number.

10082232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10082232 is an abundant number, since it is smaller than the sum of its proper divisors (18159168).

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

10082232 is a wasteful number, since it uses less digits than its factorization.

10082232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15577 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10082232 is about 3175.2530607811. The cubic root of 10082232 is about 216.0324025464.

It can be divided in two parts, 1008 and 2232, that added together give a triangular number (3240 = T80).

The spelling of 10082232 in words is "ten million, eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15559 31118 46677 62236 93354 124472 140031 186708 280062 373416 420093 560124 840186 1120248 1260279 1680372 2520558 3360744 5041116 10082232