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13540123 = 235711031
BaseRepresentation
bin110011101001…
…101100011011
3221110220120001
4303221230123
511431240443
61202113431
7223042402
oct63515433
927426501
1013540123
117708993
12464b877
132a6100c
141b26639
1512c6d4d
hexce9b1b

13540123 has 8 divisors (see below), whose sum is σ = 14167296. Its totient is φ = 12916200.

The previous prime is 13540117. The next prime is 13540139. The reversal of 13540123 is 32104531.

13540123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13540123 - 25 = 13540091 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13540123.

It is not an unprimeable number, because it can be changed into a prime (13540223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12618 + ... + 13648.

It is an arithmetic number, because the mean of its divisors is an integer number (1770912).

Almost surely, 213540123 is an apocalyptic number.

13540123 is a deficient number, since it is larger than the sum of its proper divisors (627173).

13540123 is a wasteful number, since it uses less digits than its factorization.

13540123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13540123 is about 3679.6906119944. The cubic root of 13540123 is about 238.3458181581.

Adding to 13540123 its reverse (32104531), we get a palindrome (45644654).

It can be divided in two parts, 135401 and 23, that added together give a square (135424 = 3682).

The spelling of 13540123 in words is "thirteen million, five hundred forty thousand, one hundred twenty-three".

Divisors: 1 23 571 1031 13133 23713 588701 13540123