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10085471 = 112174903
BaseRepresentation
bin100110011110…
…010001011111
3200222101122222
4212132101133
510040213341
61000055555
7151503464
oct46362137
920871588
1010085471
115769400
1234645bb
132121746
1414a766b
15d4344b
hex99e45f

10085471 has 12 divisors (see below), whose sum is σ = 11740176. Its totient is φ = 8627520.

The previous prime is 10085429. The next prime is 10085473. The reversal of 10085471 is 17458001.

It is not a de Polignac number, because 10085471 - 210 = 10084447 is a prime.

It is a super-3 number, since 3×100854713 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10085471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395 + ... + 4508.

It is an arithmetic number, because the mean of its divisors is an integer number (978348).

Almost surely, 210085471 is an apocalyptic number.

10085471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10085471 is a deficient number, since it is larger than the sum of its proper divisors (1654705).

10085471 is a wasteful number, since it uses less digits than its factorization.

10085471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 10085471 is about 3175.7630579122. The cubic root of 10085471 is about 216.0555341319.

The spelling of 10085471 in words is "ten million, eighty-five thousand, four hundred seventy-one".

Divisors: 1 11 17 121 187 2057 4903 53933 83351 593263 916861 10085471