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13815140 = 225690757
BaseRepresentation
bin110100101100…
…110101100100
3221222212210212
4310230311210
512014041030
61212034552
7225266243
oct64546544
927885725
1013815140
117886579
124762a58
132b29251
141b9895a
15132d595
hexd2cd64

13815140 has 12 divisors (see below), whose sum is σ = 29011836. Its totient is φ = 5526048.

The previous prime is 13815079. The next prime is 13815149. The reversal of 13815140 is 4151831.

13815140 is digitally balanced in base 2, because in such base 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 10863616 + 2951524 = 3296^2 + 1718^2 .

It is not an unprimeable number, because it can be changed into a prime (13815149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345359 + ... + 345398.

It is an arithmetic number, because the mean of its divisors is an integer number (2417653).

Almost surely, 213815140 is an apocalyptic number.

13815140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13815140 is an abundant number, since it is smaller than the sum of its proper divisors (15196696).

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

13815140 is a wasteful number, since it uses less digits than its factorization.

13815140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690766 (or 690764 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 13815140 is about 3716.8723410954. The cubic root of 13815140 is about 239.9487158941.

Adding to 13815140 its reverse (4151831), we get a palindrome (17966971).

The spelling of 13815140 in words is "thirteen million, eight hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 690757 1381514 2763028 3453785 6907570 13815140