Base | Representation |
---|---|
bin | 1010000011101110… |
… | …1011101101001000 |
3 | 20222011112012210200 |
4 | 2200323223231020 |
5 | 21012200000242 |
6 | 1123530212200 |
7 | 123623423220 |
oct | 24073535510 |
9 | 6864465720 |
10 | 2700000072 |
11 | 1166097020 |
12 | 634284060 |
13 | 3404b67a3 |
14 | 1b8833080 |
15 | 10c08504c |
hex | a0eebb48 |
2700000072 has 96 divisors (see below), whose sum is σ = 9116902080. Its totient is φ = 701297280.
The previous prime is 2700000071. The next prime is 2700000077.
2700000072 is nontrivially palindromic in base 10.
2700000072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2700000071) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237963 + ... + 249050.
It is an arithmetic number, because the mean of its divisors is an integer number (94967730).
Almost surely, 22700000072 is an apocalyptic number.
2700000072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
2700000072 is an abundant number, since it is smaller than the sum of its proper divisors (6416902008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2700000072 is a wasteful number, since it uses less digits than its factorization.
2700000072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 487043 (or 487036 counting only the distinct ones).
The product of its (nonzero) digits is 196, while the sum is 18.
The square root of 2700000072 is about 51961.5249198866. The cubic root of 2700000072 is about 1392.4766624614.
It can be divided in two parts, 27000000 and 72, that added together give a palindrome (27000072).
The spelling of 2700000072 in words is "two billion, seven hundred million, seventy-two", and thus it is an aban number.
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