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10082744 = 237401449
BaseRepresentation
bin100110011101…
…100110111000
3200222020220222
4212131212320
510040121434
61000035212
7151462520
oct46354670
920866828
1010082744
115767351
123462b08
132120429
1414a6680
15d4272e
hex99d9b8

10082744 has 32 divisors (see below), whose sum is σ = 21708000. Its totient is φ = 4300800.

The previous prime is 10082741. The next prime is 10082747. The reversal of 10082744 is 44728001.

It is an interprime number because it is at equal distance from previous prime (10082741) and next prime (10082747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22232 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (678375).

Almost surely, 210082744 is an apocalyptic number.

10082744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10082744 is an abundant number, since it is smaller than the sum of its proper divisors (11625256).

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

10082744 is a wasteful number, since it uses less digits than its factorization.

10082744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 10082744 is about 3175.3336832528. Note that the first 3 decimals coincide. The cubic root of 10082744 is about 216.0360593662.

The spelling of 10082744 in words is "ten million, eighty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 401 449 802 898 1604 1796 2807 3143 3208 3592 5614 6286 11228 12572 22456 25144 180049 360098 720196 1260343 1440392 2520686 5041372 10082744