Base | Representation |
---|---|
bin | 1000011110101… |
… | …10010001100000 |
3 | 11221211220010000 |
4 | 10033112101200 |
5 | 121202213011 |
6 | 11020340000 |
7 | 1522420446 |
oct | 417262140 |
9 | 157756100 |
10 | 71132256 |
11 | 37174798 |
12 | 1b9a4600 |
13 | 11976cc0 |
14 | 9638b96 |
15 | 63a1356 |
hex | 43d6460 |
71132256 has 120 divisors (see below), whose sum is σ = 225396864. Its totient is φ = 21876480.
The previous prime is 71132251. The next prime is 71132263. The reversal of 71132256 is 65223117.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (71132251) 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 19 ways as a sum of consecutive naturals, for example, 32641 + ... + 34751.
Almost surely, 271132256 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 71132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112698432).
71132256 is an abundant number, since it is smaller than the sum of its proper divisors (154264608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71132256 is a wasteful number, since it uses less digits than its factorization.
71132256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2146 (or 2129 counting only the distinct ones).
The product of its digits is 2520, while the sum is 27.
The square root of 71132256 is about 8433.9940716128. The cubic root of 71132256 is about 414.3387271949.
The spelling of 71132256 in words is "seventy-one million, one hundred thirty-two thousand, two hundred fifty-six".
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