Base | Representation |
---|---|
bin | 1110101011011… |
… | …01010111100000 |
3 | 22120200201110202 |
4 | 13111231113200 |
5 | 223010200420 |
6 | 20115044332 |
7 | 3023412362 |
oct | 725552740 |
9 | 276621422 |
10 | 123131360 |
11 | 63560460 |
12 | 352a06a8 |
13 | 1c6822c1 |
14 | 124d2d32 |
15 | ac23575 |
hex | 756d5e0 |
123131360 has 96 divisors (see below), whose sum is σ = 324922752. Its totient is φ = 43706880.
The previous prime is 123131347. The next prime is 123131369. The reversal of 123131360 is 63131321.
It is a happy number.
It is a super-2 number, since 2×1231313602 = 30322663630899200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123131369) 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, 74867 + ... + 76493.
It is an arithmetic number, because the mean of its divisors is an integer number (3384612).
Almost surely, 2123131360 is an apocalyptic number.
123131360 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 123131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162461376).
123131360 is an abundant number, since it is smaller than the sum of its proper divisors (201791392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123131360 is a wasteful number, since it uses less digits than its factorization.
123131360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1696 (or 1688 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
The square root of 123131360 is about 11096.4570922435. The cubic root of 123131360 is about 497.4959605069.
Adding to 123131360 its reverse (63131321), we get a palindrome (186262681).
The spelling of 123131360 in words is "one hundred twenty-three million, one hundred thirty-one thousand, three hundred sixty".
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