Base | Representation |
---|---|
bin | 101111000111… |
… | …000000101000 |
3 | 212020102022011 |
4 | 233013000220 |
5 | 11130140410 |
6 | 1120405304 |
7 | 206653213 |
oct | 57070050 |
9 | 25212264 |
10 | 12349480 |
11 | 6a75390 |
12 | 4176834 |
13 | 27350b0 |
14 | 18d677a |
15 | 113e18a |
hex | bc7028 |
12349480 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3870720.
The previous prime is 12349433. The next prime is 12349489. The reversal of 12349480 is 8494321.
It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (12349489) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97177 + ... + 97303.
It is an arithmetic number, because the mean of its divisors is an integer number (272160).
Almost surely, 212349480 is an apocalyptic number.
12349480 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 12349480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).
12349480 is an abundant number, since it is smaller than the sum of its proper divisors (22487000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12349480 is a wasteful number, since it uses less digits than its factorization.
12349480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 31.
The square root of 12349480 is about 3514.1826930312. The cubic root of 12349480 is about 231.1441414685.
The spelling of 12349480 in words is "twelve million, three hundred forty-nine thousand, four hundred eighty".
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