Base | Representation |
---|---|
bin | 1000100010001… |
… | …10110110011000 |
3 | 11222201022122020 |
4 | 10101012312120 |
5 | 121311441433 |
6 | 11034254440 |
7 | 1526351010 |
oct | 421066630 |
9 | 158638566 |
10 | 71593368 |
11 | 3745a180 |
12 | 1bb87420 |
13 | 11aa8b52 |
14 | 9718c40 |
15 | 6442cb3 |
hex | 4446d98 |
71593368 has 128 divisors (see below), whose sum is σ = 235008000. Its totient is φ = 17608320.
The previous prime is 71593367. The next prime is 71593369. The reversal of 71593368 is 86339517.
It is an interprime number because it is at equal distance from previous prime (71593367) and next prime (71593369).
It is a super-3 number, since 3×715933683 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (71593367) 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 31 ways as a sum of consecutive naturals, for example, 34093 + ... + 36131.
It is an arithmetic number, because the mean of its divisors is an integer number (1836000).
Almost surely, 271593368 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 71593368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).
71593368 is an abundant number, since it is smaller than the sum of its proper divisors (163414632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71593368 is a wasteful number, since it uses less digits than its factorization.
71593368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2085 (or 2081 counting only the distinct ones).
The product of its digits is 136080, while the sum is 42.
The square root of 71593368 is about 8461.2864270157. The cubic root of 71593368 is about 415.2321109257.
The spelling of 71593368 in words is "seventy-one million, five hundred ninety-three thousand, three hundred sixty-eight".
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