Base | Representation |
---|---|
bin | 101101111010100… |
… | …0011111100000000 |
3 | 10222100222102212000 |
4 | 1123311003330000 |
5 | 11123400331131 |
6 | 412513104000 |
7 | 53115123234 |
oct | 13365037400 |
9 | 3870872760 |
10 | 1540636416 |
11 | 720715a40 |
12 | 36bb58000 |
13 | 1b724c6a7 |
14 | 1088805c4 |
15 | 903c4ce6 |
hex | 5bd43f00 |
1540636416 has 288 divisors, whose sum is σ = 5192087040. Its totient is φ = 446054400.
The previous prime is 1540636381. The next prime is 1540636417. The reversal of 1540636416 is 6146360451.
It is a happy number.
1540636416 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 6 + 3 + 641 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1540636417) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748296 + ... + 1749176.
It is an arithmetic number, because the mean of its divisors is an integer number (18028080).
Almost surely, 21540636416 is an apocalyptic number.
1540636416 is a gapful number since it is divisible by the number (16) 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 1540636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596043520).
1540636416 is an abundant number, since it is smaller than the sum of its proper divisors (3651450624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1540636416 is a wasteful number, since it uses less digits than its factorization.
1540636416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 940 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 1540636416 is about 39250.9415938013. The cubic root of 1540636416 is about 1154.9594048812.
Adding to 1540636416 its reverse (6146360451), we get a palindrome (7686996867).
The spelling of 1540636416 in words is "one billion, five hundred forty million, six hundred thirty-six thousand, four hundred sixteen".
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