| Base | Representation |
|---|---|
| bin | 100100111111011… |
| … | …1101000111000000 |
| 3 | 10012111121112011212 |
| 4 | 1021332331013000 |
| 5 | 10020224140000 |
| 6 | 323100025252 |
| 7 | 42521236340 |
| oct | 11176750700 |
| 9 | 3174545155 |
| 10 | 1241240000 |
| 11 | 587713a90 |
| 12 | 2a7832228 |
| 13 | 16a203550 |
| 14 | babc6d20 |
| 15 | 73e84c35 |
| hex | 49fbd1c0 |
1241240000 has 560 divisors, whose sum is σ = 4265834496. Its totient is φ = 345600000.
The previous prime is 1241239997. The next prime is 1241240003. The reversal of 1241240000 is 421421.
It is an interprime number because it is at equal distance from previous prime (1241239997) and next prime (1241240003).
It is a tau number, because it is divible by the number of its divisors (560).
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1241240003) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40039985 + ... + 40040015.
Almost surely, 21241240000 is an apocalyptic number.
1241240000 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 1241240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132917248).
1241240000 is an abundant number, since it is smaller than the sum of its proper divisors (3024594496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1241240000 is a wasteful number, since it uses less digits than its factorization.
1241240000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 1241240000 is about 35231.2361406749. The cubic root of 1241240000 is about 1074.6950640415.
Adding to 1241240000 its reverse (421421), we get a palindrome (1241661421).
It can be divided in two parts, 124 and 1240000, that multiplied together give a square (153760000 = 124002).
The spelling of 1241240000 in words is "one billion, two hundred forty-one million, two hundred forty thousand".
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