Base | Representation |
---|---|
bin | 1010110010101… |
… | …10011010011000 |
3 | 20022100110211210 |
4 | 11121112122120 |
5 | 141134001410 |
6 | 12552223120 |
7 | 2146335114 |
oct | 531263230 |
9 | 208313753 |
10 | 90531480 |
11 | 47114706 |
12 | 2639aaa0 |
13 | 159a9b30 |
14 | c048744 |
15 | 7e34220 |
hex | 5656698 |
90531480 has 128 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 22064640.
The previous prime is 90531431. The next prime is 90531491. The reversal of 90531480 is 8413509.
It is a super-3 number, since 3×905314803 (a number of 25 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 204139 + ... + 204581.
It is an arithmetic number, because the mean of its divisors is an integer number (2307690).
Almost surely, 290531480 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 90531480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).
90531480 is an abundant number, since it is smaller than the sum of its proper divisors (204852840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90531480 is a wasteful number, since it uses less digits than its factorization.
90531480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 601 (or 597 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 30.
The square root of 90531480 is about 9514.8032034299. The cubic root of 90531480 is about 449.0208835150.
Adding to 90531480 its reverse (8413509), we get a palindrome (98944989).
It can be divided in two parts, 905 and 31480, that added together give a triangular number (32385 = T254).
The spelling of 90531480 in words is "ninety million, five hundred thirty-one thousand, four hundred eighty".
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