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13142835 = 325793697
BaseRepresentation
bin110010001000…
…101100110011
3220201201120200
4302020230303
511331032320
61145410243
7216466206
oct62105463
926651520
1013142835
117467452
124499983
132952234
141a6193d
151249290
hexc88b33

13142835 has 24 divisors (see below), whose sum is σ = 23075520. Its totient is φ = 6918912.

The previous prime is 13142797. The next prime is 13142839. The reversal of 13142835 is 53824131.

It is a happy number.

It is not a de Polignac number, because 13142835 - 28 = 13142579 is a prime.

It is a super-2 number, since 2×131428352 = 345468223674450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13142799 and 13142808.

It is not an unprimeable number, because it can be changed into a prime (13142839) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1707 + ... + 5403.

It is an arithmetic number, because the mean of its divisors is an integer number (961480).

Almost surely, 213142835 is an apocalyptic number.

13142835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13142835 is a deficient number, since it is larger than the sum of its proper divisors (9932685).

13142835 is a wasteful number, since it uses less digits than its factorization.

13142835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3784 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13142835 is about 3625.3048147708. The cubic root of 13142835 is about 235.9914951929.

Adding to 13142835 its reverse (53824131), we get a palindrome (66966966).

The spelling of 13142835 in words is "thirteen million, one hundred forty-two thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 45 79 237 395 711 1185 3555 3697 11091 18485 33273 55455 166365 292063 876189 1460315 2628567 4380945 13142835