Base | Representation |
---|---|
bin | 1000101111001… |
… | …10011101100000 |
3 | 12002220210211000 |
4 | 10113212131200 |
5 | 122230430322 |
6 | 11134552000 |
7 | 1550001060 |
oct | 427463540 |
9 | 162823730 |
10 | 73295712 |
11 | 38412176 |
12 | 20668600 |
13 | 12253959 |
14 | 9a3d3a0 |
15 | 667c3ac |
hex | 45e6760 |
73295712 has 96 divisors (see below), whose sum is σ = 244339200. Its totient is φ = 20939904.
The previous prime is 73295707. The next prime is 73295713. The reversal of 73295712 is 21759237.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×732957122 = 10744522795173888, which contains 22 as substring.
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 (73295713) 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 15 ways as a sum of consecutive naturals, for example, 12 + ... + 12107.
It is an arithmetic number, because the mean of its divisors is an integer number (2545200).
Almost surely, 273295712 is an apocalyptic number.
73295712 is a gapful number since it is divisible by the number (72) 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 73295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169600).
73295712 is an abundant number, since it is smaller than the sum of its proper divisors (171043488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73295712 is a wasteful number, since it uses less digits than its factorization.
73295712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12145 (or 12131 counting only the distinct ones).
The product of its digits is 26460, while the sum is 36.
The square root of 73295712 is about 8561.2914913581. The cubic root of 73295712 is about 418.4974884550.
It can be divided in two parts, 7329 and 5712, that added together give a triangular number (13041 = T161).
The spelling of 73295712 in words is "seventy-three million, two hundred ninety-five thousand, seven hundred twelve".
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