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13823505 = 325307189
BaseRepresentation
bin110100101110…
…111000010001
3222000022021200
4310232320101
512014323010
61212141413
7225332523
oct64567021
928008250
1013823505
117891893
124767869
132b2ccb7
141b9ba13
151330cc0
hexd2ee11

13823505 has 12 divisors (see below), whose sum is σ = 23960820. Its totient is φ = 7372512.

The previous prime is 13823503. The next prime is 13823531. The reversal of 13823505 is 50532831.

13823505 is a `hidden beast` number, since 138 + 23 + 505 = 666.

13823505 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5803281 + 8020224 = 2409^2 + 2832^2 .

It is not a de Polignac number, because 13823505 - 21 = 13823503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13823503) 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, 153550 + ... + 153639.

It is an arithmetic number, because the mean of its divisors is an integer number (1996735).

Almost surely, 213823505 is an apocalyptic number.

13823505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13823505 is a deficient number, since it is larger than the sum of its proper divisors (10137315).

13823505 is a wasteful number, since it uses less digits than its factorization.

13823505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307200 (or 307197 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13823505 is about 3717.9974448620. The cubic root of 13823505 is about 239.9971353825.

The spelling of 13823505 in words is "thirteen million, eight hundred twenty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 45 307189 921567 1535945 2764701 4607835 13823505