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10085432 = 237180097
BaseRepresentation
bin100110011110…
…010000111000
3200222101121112
4212132100320
510040213212
61000055452
7151503410
oct46362070
920871545
1010085432
115769375
123464588
132121716
1414a7640
15d43422
hex99e438

10085432 has 16 divisors (see below), whose sum is σ = 21611760. Its totient is φ = 4322304.

The previous prime is 10085429. The next prime is 10085473. The reversal of 10085432 is 23458001.

It is a junction number, because it is equal to n+sod(n) for n = 10085398 and 10085407.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 89993 + ... + 90104.

It is an arithmetic number, because the mean of its divisors is an integer number (1350735).

Almost surely, 210085432 is an apocalyptic number.

It is an amenable number.

10085432 is an abundant number, since it is smaller than the sum of its proper divisors (11526328).

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

10085432 is a wasteful number, since it uses less digits than its factorization.

10085432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180110 (or 180106 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 10085432 is about 3175.7569176497. The cubic root of 10085432 is about 216.0552556396.

The spelling of 10085432 in words is "ten million, eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 180097 360194 720388 1260679 1440776 2521358 5042716 10085432