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13413140 = 22513232243
BaseRepresentation
bin110011001010…
…101100010100
3221020110100222
4303022230110
511413210030
61155253512
7222003236
oct63125424
927213328
1013413140
117631544
1245aa298
132a18290
141ad2256
15129e3e5
hexccab14

13413140 has 48 divisors (see below), whose sum is σ = 31667328. Its totient is φ = 4735104.

The previous prime is 13413131. The next prime is 13413143. The reversal of 13413140 is 4131431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413143) 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, 4859 + ... + 7101.

It is an arithmetic number, because the mean of its divisors is an integer number (659736).

Almost surely, 213413140 is an apocalyptic number.

13413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664).

13413140 is an abundant number, since it is smaller than the sum of its proper divisors (18254188).

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

13413140 is a wasteful number, since it uses less digits than its factorization.

13413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2286 counting only the distinct ones).

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

The square root of 13413140 is about 3662.3953909975. The cubic root of 13413140 is about 237.5983858302.

Adding to 13413140 its reverse (4131431), we get a palindrome (17544571).

The spelling of 13413140 in words is "thirteen million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2243 2990 4486 5980 8972 11215 22430 29159 44860 51589 58318 103178 116636 145795 206356 257945 291590 515890 583180 670657 1031780 1341314 2682628 3353285 6706570 13413140