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13813023 = 374161263
BaseRepresentation
bin110100101100…
…010100011111
3221222202220110
4310230110133
512014004043
61212021103
7225260130
oct64542437
927882813
1013813023
117884a24
124761793
132b282b3
141b97c87
15132cb33
hexd2c51f

13813023 has 32 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 7545600.

The previous prime is 13813013. The next prime is 13813039. The reversal of 13813023 is 32031831.

It is a happy number.

It is not a de Polignac number, because 13813023 - 25 = 13812991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813013) by changing a digit.

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, 52390 + ... + 52652.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 213813023 is an apocalyptic number.

13813023 is a deficient number, since it is larger than the sum of its proper divisors (8185569).

13813023 is a wasteful number, since it uses less digits than its factorization.

13813023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13813023 is about 3716.5875477378. The cubic root of 13813023 is about 239.9364588731.

Adding to 13813023 its reverse (32031831), we get a palindrome (45844854).

The spelling of 13813023 in words is "thirteen million, eight hundred thirteen thousand, twenty-three".

Divisors: 1 3 7 21 41 61 123 183 263 287 427 789 861 1281 1841 2501 5523 7503 10783 16043 17507 32349 48129 52521 75481 112301 226443 336903 657763 1973289 4604341 13813023