Search a number
-
+
13429540 = 225671477
BaseRepresentation
bin110011001110…
…101100100100
3221021021212101
4303032230210
511414221130
61155501444
7222102115
oct63165444
927237771
1013429540
1176428a3
1245b7884
132a22897
141ad820c
1512a41ca
hexcceb24

13429540 has 12 divisors (see below), whose sum is σ = 28202076. Its totient is φ = 5371808.

The previous prime is 13429531. The next prime is 13429543. The reversal of 13429540 is 4592431.

13429540 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 7485696 + 5943844 = 2736^2 + 2438^2 .

It is a super-2 number, since 2×134295402 = 360705089223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13429499 and 13429508.

It is not an unprimeable number, because it can be changed into a prime (13429543) 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, 335719 + ... + 335758.

It is an arithmetic number, because the mean of its divisors is an integer number (2350173).

Almost surely, 213429540 is an apocalyptic number.

13429540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13429540 is an abundant number, since it is smaller than the sum of its proper divisors (14772536).

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

13429540 is a wasteful number, since it uses less digits than its factorization.

13429540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671486 (or 671484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13429540 is about 3664.6336788279. The cubic root of 13429540 is about 237.6951821185.

The spelling of 13429540 in words is "thirteen million, four hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 671477 1342954 2685908 3357385 6714770 13429540