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13816305 = 335531931
BaseRepresentation
bin110100101101…
…000111110001
3221222221102000
4310231013301
512014110210
61212044213
7225302526
oct64550761
927887360
1013816305
117887438
124763669
132b29939
141b9914d
15132dac0
hexd2d1f1

13816305 has 32 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 7225920.

The previous prime is 13816279. The next prime is 13816333. The reversal of 13816305 is 50361831.

It is not a de Polignac number, because 13816305 - 26 = 13816241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6190 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 213816305 is an apocalyptic number.

13816305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13816305 is a deficient number, since it is larger than the sum of its proper divisors (11222415).

13816305 is a wasteful number, since it uses less digits than its factorization.

13816305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13816305 is about 3717.0290555765. The cubic root of 13816305 is about 239.9554604848.

The spelling of 13816305 in words is "thirteen million, eight hundred sixteen thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 477 795 1431 1931 2385 5793 7155 9655 17379 28965 52137 86895 102343 260685 307029 511715 921087 1535145 2763261 4605435 13816305