Base | Representation |
---|---|
bin | 110001101001… |
… | …011001100000 |
3 | 220111012201010 |
4 | 301221121200 |
5 | 11312431444 |
6 | 1142540520 |
7 | 215423340 |
oct | 61513140 |
9 | 26435633 |
10 | 13014624 |
11 | 738a097 |
12 | 4437740 |
13 | 2908a7c |
14 | 1a2ad20 |
15 | 12212b9 |
hex | c69660 |
13014624 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3663360.
The previous prime is 13014623. The next prime is 13014641. The reversal of 13014624 is 42641031.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×130146242 = 338760875722752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 13014624.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13014623) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71814 + ... + 71994.
It is an arithmetic number, because the mean of its divisors is an integer number (412776).
Almost surely, 213014624 is an apocalyptic number.
13014624 is a gapful number since it is divisible by the number (14) 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 13014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).
13014624 is an abundant number, since it is smaller than the sum of its proper divisors (26611872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13014624 is a wasteful number, since it uses less digits than its factorization.
13014624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 308 (or 300 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 13014624 is about 3607.5786893705. The cubic root of 13014624 is about 235.2216047533.
Adding to 13014624 its reverse (42641031), we get a palindrome (55655655).
The spelling of 13014624 in words is "thirteen million, fourteen thousand, six hundred twenty-four".
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