| Base | Representation |
|---|---|
| bin | 1110011000001… |
| … | …00101000010000 |
| 3 | 22101221101020021 |
| 4 | 13030010220100 |
| 5 | 221333331300 |
| 6 | 15544553224 |
| 7 | 2663061442 |
| oct | 714045020 |
| 9 | 271841207 |
| 10 | 120605200 |
| 11 | 62095521 |
| 12 | 34482814 |
| 13 | 1bca9531 |
| 14 | 12036492 |
| 15 | a8c4d1a |
| hex | 7304a10 |
120605200 has 120 divisors (see below), whose sum is σ = 308942280. Its totient is φ = 45158400.
The previous prime is 120605197. The next prime is 120605203. The reversal of 120605200 is 2506021.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (120605197) and next prime (120605203).
It can be written as a sum of positive squares in 12 ways, for example, as 4999696 + 115605504 = 2236^2 + 10752^2 .
It is a super-2 number, since 2×1206052002 = 29091228534080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (120605203) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429060 + ... + 429340.
It is an arithmetic number, because the mean of its divisors is an integer number (2574519).
Almost surely, 2120605200 is an apocalyptic number.
120605200 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 120605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154471140).
120605200 is an abundant number, since it is smaller than the sum of its proper divisors (188337080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120605200 is a wasteful number, since it uses less digits than its factorization.
120605200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365 (or 354 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 16.
The square root of 120605200 is about 10982.0398833732. The cubic root of 120605200 is about 494.0702200934.
The spelling of 120605200 in words is "one hundred twenty million, six hundred five thousand, two hundred".
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