| Base | Representation |
|---|---|
| bin | 100100111111010… |
| … | …0111110110000100 |
| 3 | 10012111110002200221 |
| 4 | 1021332213312010 |
| 5 | 10020213343100 |
| 6 | 323054114124 |
| 7 | 42520424401 |
| oct | 11176476604 |
| 9 | 3174402627 |
| 10 | 1241152900 |
| 11 | 5876645a9 |
| 12 | 2a77ab944 |
| 13 | 16a1a2a00 |
| 14 | baba32a8 |
| 15 | 73e6901a |
| hex | 49fa7d84 |
1241152900 has 81 divisors (see below), whose sum is σ = 2927216943. Its totient is φ = 456580800.
The previous prime is 1241152897. The next prime is 1241152907. The reversal of 1241152900 is 92511421.
It is a happy number.
The square root of 1241152900 is 35230.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 319908996 + 921243904 = 17886^2 + 30352^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1241152907) by changing a digit.
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 26 ways as a sum of consecutive naturals, for example, 4579765 + ... + 4580035.
Almost surely, 21241152900 is an apocalyptic number.
1241152900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1241152900 is the 35230-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1241152900
1241152900 is an abundant number, since it is smaller than the sum of its proper divisors (1686064043).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1241152900 is a wasteful number, since it uses less digits than its factorization.
1241152900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 582 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 25.
The cubic root of 1241152900 is about 1074.6699257041.
Multiplying 1241152900 by its sum of digits (25), we get a square (31028822500 = 1761502).
1241152900 divided by its sum of digits (25) gives a square (49646116 = 70462).
The spelling of 1241152900 in words is "one billion, two hundred forty-one million, one hundred fifty-two thousand, nine hundred".
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