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13812126 = 2317197127
BaseRepresentation
bin110100101100…
…000110011110
3221222201200020
4310230012132
512013442001
61212013010
7225254406
oct64540636
927881606
1013812126
117884289
124761166
132b27a73
141b97806
15132c736
hexd2c19e

13812126 has 32 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 4104576.

The previous prime is 13812101. The next prime is 13812157. The reversal of 13812126 is 62121831.

Adding to 13812126 its reverse (62121831), we get a palindrome (75933957).

13812126 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 is a junction number, because it is equal to n+sod(n) for n = 13812096 and 13812105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (962280).

Almost surely, 213812126 is an apocalyptic number.

13812126 is the 2351-st centered pentagonal number.

13812126 is an abundant number, since it is smaller than the sum of its proper divisors (16980834).

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

13812126 is a wasteful number, since it uses less digits than its factorization.

13812126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168.

The product of its digits is 576, while the sum is 24.

The square root of 13812126 is about 3716.4668705640. The cubic root of 13812126 is about 239.9312650387.

The spelling of 13812126 in words is "thirteen million, eight hundred twelve thousand, one hundred twenty-six".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 646 969 1938 7127 14254 21381 42762 121159 135413 242318 270826 363477 406239 726954 812478 2302021 4604042 6906063 13812126