Base | Representation |
---|---|
bin | 100010001001001… |
… | …1001001111000000 |
3 | 2221211210012102000 |
4 | 1010102121033000 |
5 | 4321243011030 |
6 | 305403424000 |
7 | 40251025320 |
oct | 10422311700 |
9 | 2854705360 |
10 | 1145672640 |
11 | 53877a8a2 |
12 | 27b825000 |
13 | 153482508 |
14 | ac22b280 |
15 | 6a8a8860 |
hex | 444993c0 |
1145672640 has 448 divisors, whose sum is σ = 4867046400. Its totient is φ = 247836672.
The previous prime is 1145672629. The next prime is 1145672641. The reversal of 1145672640 is 462765411.
1145672640 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 7 + 2 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
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 = 1145672595 and 1145672604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1145672641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148622 + ... + 1149618.
Almost surely, 21145672640 is an apocalyptic number.
1145672640 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 1145672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433523200).
1145672640 is an abundant number, since it is smaller than the sum of its proper divisors (3721373760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1145672640 is a wasteful number, since it uses less digits than its factorization.
1145672640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1049 (or 1033 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 1145672640 is about 33847.7863382526. The cubic root of 1145672640 is about 1046.3737768027.
The spelling of 1145672640 in words is "one billion, one hundred forty-five million, six hundred seventy-two thousand, six hundred forty".
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