| Base | Representation |
|---|---|
| bin | 111101001110110… |
| … | …0000111100000000 |
| 3 | 12022012000022222000 |
| 4 | 1322131200330000 |
| 5 | 13201431314230 |
| 6 | 535512144000 |
| 7 | 101625310245 |
| oct | 17235407400 |
| 9 | 5265008860 |
| 10 | 2054557440 |
| 11 | 964820461 |
| 12 | 494098000 |
| 13 | 269869c80 |
| 14 | 156c1b5cc |
| 15 | c058cb60 |
| hex | 7a760f00 |
2054557440 has 576 divisors, whose sum is σ = 8344425600. Its totient is φ = 474218496.
The previous prime is 2054557369. The next prime is 2054557447. The reversal of 2054557440 is 447554502.
It is a happy number.
2054557440 is a `hidden beast` number, since 2 + 0 + 5 + 45 + 574 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2054557395 and 2054557404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2054557447) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637626 + ... + 7637894.
It is an arithmetic number, because the mean of its divisors is an integer number (14486850).
Almost surely, 22054557440 is an apocalyptic number.
2054557440 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 2054557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172212800).
2054557440 is an abundant number, since it is smaller than the sum of its proper divisors (6289868160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2054557440 is a wasteful number, since it uses less digits than its factorization.
2054557440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 329 (or 309 counting only the distinct ones).
The product of its (nonzero) digits is 112000, while the sum is 36.
The square root of 2054557440 is about 45327.2262553093. The cubic root of 2054557440 is about 1271.2747734924.
The spelling of 2054557440 in words is "two billion, fifty-four million, five hundred fifty-seven thousand, four hundred forty".
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