Base | Representation |
---|---|
bin | 1010110010110… |
… | …01010101010000 |
3 | 20022101002020202 |
4 | 11121121111100 |
5 | 141134342230 |
6 | 12552354332 |
7 | 2146415021 |
oct | 531312520 |
9 | 208332222 |
10 | 90543440 |
11 | 47122699 |
12 | 263a59a8 |
13 | 159b2400 |
14 | c04cc48 |
15 | 7e37a45 |
hex | 5659550 |
90543440 has 120 divisors (see below), whose sum is σ = 235406808. Its totient is φ = 32348160.
The previous prime is 90543421. The next prime is 90543449. The reversal of 90543440 is 4434509.
It can be written as a sum of positive squares in 12 ways, for example, as 61340224 + 29203216 = 7832^2 + 5404^2 .
It is a super-2 number, since 2×905434402 = 16396229054067200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90543449) 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, 500150 + ... + 500330.
Almost surely, 290543440 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 90543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117703404).
90543440 is an abundant number, since it is smaller than the sum of its proper divisors (144863368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90543440 is a wasteful number, since it uses less digits than its factorization.
90543440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 257 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 29.
The square root of 90543440 is about 9515.4316770181. The cubic root of 90543440 is about 449.0406558391.
Adding to 90543440 its reverse (4434509), we get a palindrome (94977949).
The spelling of 90543440 in words is "ninety million, five hundred forty-three thousand, four hundred forty".
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