Base | Representation |
---|---|
bin | 110010010101… |
… | …011100000000 |
3 | 220211101011000 |
4 | 302111130000 |
5 | 11334220013 |
6 | 1150452000 |
7 | 220104261 |
oct | 62253400 |
9 | 26741130 |
10 | 13195008 |
11 | 74a2672 |
12 | 4504000 |
13 | 296cbc8 |
14 | 1a76968 |
15 | 1259973 |
hex | c95700 |
13195008 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 4156416.
The previous prime is 13195001. The next prime is 13195027. The reversal of 13195008 is 80059131.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×131950082 = 348216472240128, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13195001) 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, 158935 + ... + 159017.
It is an arithmetic number, because the mean of its divisors is an integer number (286160).
Almost surely, 213195008 is an apocalyptic number.
13195008 is a gapful number since it is divisible by the number (18) 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 13195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).
13195008 is an abundant number, since it is smaller than the sum of its proper divisors (28012032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13195008 is an equidigital number, since it uses as much as digits as its factorization.
13195008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 27.
The square root of 13195008 is about 3632.4933585624. The cubic root of 13195008 is about 236.3033540369.
The spelling of 13195008 in words is "thirteen million, one hundred ninety-five thousand, eight".
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