| Base | Representation |
|---|---|
| bin | 11101001110010… |
| … | …00001111100000 |
| 3 | 122002021022200000 |
| 4 | 32213020033200 |
| 5 | 1000223412100 |
| 6 | 40154100000 |
| 7 | 6034433133 |
| oct | 1647101740 |
| 9 | 562238600 |
| 10 | 245138400 |
| 11 | 116413121 |
| 12 | 6a11a600 |
| 13 | 3ba2c910 |
| 14 | 247b221a |
| 15 | 167c3900 |
| hex | e9c83e0 |
245138400 has 432 divisors, whose sum is σ = 975343824. Its totient is φ = 59719680.
The previous prime is 245138381. The next prime is 245138401. The reversal of 245138400 is 4831542.
245138400 is a `hidden beast` number, since 245 + 13 + 8 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-4 number, since 4×2451384004 (a number of 35 digits) contains 4444 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 (245138401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2527152 + ... + 2527248.
Almost surely, 2245138400 is an apocalyptic number.
245138400 is a gapful number since it is divisible by the number (20) 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 245138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487671912).
245138400 is an abundant number, since it is smaller than the sum of its proper divisors (730205424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
245138400 is a wasteful number, since it uses less digits than its factorization.
245138400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145 (or 120 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 245138400 is about 15656.8962441475. The cubic root of 245138400 is about 625.8502773875.
Adding to 245138400 its reverse (4831542), we get a palindrome (249969942).
The spelling of 245138400 in words is "two hundred forty-five million, one hundred thirty-eight thousand, four hundred".
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