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13140413 = 1113432137
BaseRepresentation
bin110010001000…
…000110111101
3220201121020222
4302020012331
511330443123
61145351125
7216456146
oct62100675
926647228
1013140413
117465650
1244984a5
1329510c0
141a60acd
1512486c8
hexc881bd

13140413 has 16 divisors (see below), whose sum is σ = 15804096. Its totient is φ = 10765440.

The previous prime is 13140409. The next prime is 13140427. The reversal of 13140413 is 31404131.

It is a cyclic number.

It is not a de Polignac number, because 13140413 - 22 = 13140409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13140391 and 13140400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140433) 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 15 ways as a sum of consecutive naturals, for example, 5081 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (987756).

Almost surely, 213140413 is an apocalyptic number.

13140413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13140413 is a deficient number, since it is larger than the sum of its proper divisors (2663683).

13140413 is a wasteful number, since it uses less digits than its factorization.

13140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13140413 is about 3624.9707585027. The cubic root of 13140413 is about 235.9769979018.

Adding to 13140413 its reverse (31404131), we get a palindrome (44544544).

The spelling of 13140413 in words is "thirteen million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 11 13 43 143 473 559 2137 6149 23507 27781 91891 305591 1010801 1194583 13140413