Base | Representation |
---|---|
bin | 111111100000111… |
… | …100100000010000 |
3 | 2202021010010211012 |
4 | 333200330200100 |
5 | 4140243213130 |
6 | 253423310052 |
7 | 35256313400 |
oct | 7740744020 |
9 | 2667103735 |
10 | 1065601040 |
11 | 4a755a919 |
12 | 258a4b328 |
13 | 13c9c867a |
14 | a1746800 |
15 | 6383d995 |
hex | 3f83c810 |
1065601040 has 240 divisors, whose sum is σ = 3077803008. Its totient is φ = 341332992.
The previous prime is 1065600983. The next prime is 1065601049. The reversal of 1065601040 is 401065601.
It is a super-2 number, since 2×10656010402 = 2271011152898163200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a junction number, because it is equal to n+sod(n) for n = 1065600997 and 1065601015.
It is not an unprimeable number, because it can be changed into a prime (1065601049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4778369 + ... + 4778591.
Almost surely, 21065601040 is an apocalyptic number.
1065601040 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 1065601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538901504).
1065601040 is an abundant number, since it is smaller than the sum of its proper divisors (2012201968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1065601040 is a wasteful number, since it uses less digits than its factorization.
1065601040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 326 (or 313 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 23.
The square root of 1065601040 is about 32643.5451506113. The cubic root of 1065601040 is about 1021.4055465866.
Adding to 1065601040 its reverse (401065601), we get a palindrome (1466666641).
The spelling of 1065601040 in words is "one billion, sixty-five million, six hundred one thousand, forty".
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