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13845936 = 2431322189
BaseRepresentation
bin110100110100…
…010110110000
3222001110001110
4310310112300
512021032221
61212433320
7225455106
oct64642660
928043043
1013845936
1178a7725
124778840
132b3a280
141ba5c76
151337776
hexd345b0

13845936 has 40 divisors (see below), whose sum is σ = 38521840. Its totient is φ = 4260096.

The previous prime is 13845919. The next prime is 13845941. The reversal of 13845936 is 63954831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13845894 and 13845903.

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 7 ways as a sum of consecutive naturals, for example, 10471 + ... + 11718.

It is an arithmetic number, because the mean of its divisors is an integer number (963046).

Almost surely, 213845936 is an apocalyptic number.

13845936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13845936 is an abundant number, since it is smaller than the sum of its proper divisors (24675904).

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

13845936 is a wasteful number, since it uses less digits than its factorization.

13845936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22213 (or 22207 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 13845936 is about 3721.0127653638. The cubic root of 13845936 is about 240.1268773582.

The spelling of 13845936 in words is "thirteen million, eight hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 22189 44378 66567 88756 133134 177512 266268 288457 355024 532536 576914 865371 1065072 1153828 1730742 2307656 3461484 4615312 6922968 13845936