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13014540 = 22335711313
BaseRepresentation
bin110001101001…
…011000001100
3220111012121000
4301221120030
511312431130
61142540300
7215423160
oct61513014
926435530
1013014540
11738a020
124437690
132908a16
141a2aca0
151221260
hexc6960c

13014540 has 192 divisors, whose sum is σ = 50641920. Its totient is φ = 2695680.

The previous prime is 13014523. The next prime is 13014541. The reversal of 13014540 is 4541031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13014541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41424 + ... + 41736.

It is an arithmetic number, because the mean of its divisors is an integer number (263760).

Almost surely, 213014540 is an apocalyptic number.

13014540 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 13014540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25320960).

13014540 is an abundant number, since it is smaller than the sum of its proper divisors (37627380).

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

13014540 is a wasteful number, since it uses less digits than its factorization.

13014540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13014540 is about 3607.5670471940. The cubic root of 13014540 is about 235.2210986904.

Adding to 13014540 its reverse (4541031), we get a palindrome (17555571).

The spelling of 13014540 in words is "thirteen million, fourteen thousand, five hundred forty".