Base | Representation |
---|---|
bin | 1110101101011… |
… | …11011110001000 |
3 | 22121012110212220 |
4 | 13112233132020 |
5 | 223042331440 |
6 | 20124534040 |
7 | 3025620642 |
oct | 726573610 |
9 | 277173786 |
10 | 123402120 |
11 | 63725926 |
12 | 353b1320 |
13 | 1c74860a |
14 | 12563892 |
15 | ac788d0 |
hex | 75af788 |
123402120 has 64 divisors (see below), whose sum is σ = 375304320. Its totient is φ = 32454144.
The previous prime is 123402109. The next prime is 123402127. The reversal of 123402120 is 21204321.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 123402120.
It is not an unprimeable number, because it can be changed into a prime (123402127) 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, 1717 + ... + 15803.
It is an arithmetic number, because the mean of its divisors is an integer number (5864130).
Almost surely, 2123402120 is an apocalyptic number.
123402120 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 123402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187652160).
123402120 is an abundant number, since it is smaller than the sum of its proper divisors (251902200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123402120 is a wasteful number, since it uses less digits than its factorization.
123402120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14174 (or 14170 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 123402120 is about 11108.6506831388. The cubic root of 123402120 is about 497.8603501914.
Adding to 123402120 its reverse (21204321), we get a palindrome (144606441).
The spelling of 123402120 in words is "one hundred twenty-three million, four hundred two thousand, one hundred twenty".
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