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13823985 = 357312137
BaseRepresentation
bin110100101110…
…111111110001
3222000022221110
4310232333301
512014331420
61212143533
7225334110
oct64567761
928008843
1013823985
11789218a
124767ba9
132b30296
141b9bc77
151330ee0
hexd2eff1

13823985 has 48 divisors (see below), whose sum is σ = 26310528. Its totient is φ = 6071040.

The previous prime is 13823959. The next prime is 13823987. The reversal of 13823985 is 58932831.

It is not a de Polignac number, because 13823985 - 26 = 13823921 is a prime.

It is a super-2 number, since 2×138239852 = 382205122560450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100837 + ... + 100973.

It is an arithmetic number, because the mean of its divisors is an integer number (548136).

Almost surely, 213823985 is an apocalyptic number.

13823985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13823985 is a deficient number, since it is larger than the sum of its proper divisors (12486543).

13823985 is a wasteful number, since it uses less digits than its factorization.

13823985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 13823985 is about 3718.0619951797. The cubic root of 13823985 is about 239.9999131944. Note that the first 4 decimals are identical.

The spelling of 13823985 in words is "thirteen million, eight hundred twenty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 137 155 217 411 465 651 685 959 961 1085 2055 2877 2883 3255 4247 4795 4805 6727 12741 14385 14415 20181 21235 29729 33635 63705 89187 100905 131657 148645 394971 445935 658285 921599 1974855 2764797 4607995 13823985