Base | Representation |
---|---|
bin | 1110101100110… |
… | …01111101111000 |
3 | 22121001000001200 |
4 | 13112121331320 |
5 | 223032022130 |
6 | 20123014200 |
7 | 3025103103 |
oct | 726317570 |
9 | 277030050 |
10 | 123314040 |
11 | 63675733 |
12 | 3536a360 |
13 | 1c7174b5 |
14 | 1253d73a |
15 | ac5c760 |
hex | 7599f78 |
123314040 has 192 divisors, whose sum is σ = 427602240. Its totient is φ = 30750720.
The previous prime is 123314021. The next prime is 123314077. The reversal of 123314040 is 40413321.
It is a super-2 number, since 2×1233140402 = 30412704922243200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438700 + ... + 438980.
It is an arithmetic number, because the mean of its divisors is an integer number (2227095).
Almost surely, 2123314040 is an apocalyptic number.
123314040 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 123314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213801120).
123314040 is an abundant number, since it is smaller than the sum of its proper divisors (304288200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123314040 is a wasteful number, since it uses less digits than its factorization.
123314040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 374 (or 367 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 123314040 is about 11104.6854975726. The cubic root of 123314040 is about 497.7418703874.
Adding to 123314040 its reverse (40413321), we get a palindrome (163727361).
The spelling of 123314040 in words is "one hundred twenty-three million, three hundred fourteen thousand, forty".
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