Base | Representation |
---|---|
bin | 1010101111001… |
… | …00000010011000 |
3 | 20021110200012200 |
4 | 11113210002120 |
5 | 141024004000 |
6 | 12534210200 |
7 | 2142344226 |
oct | 527440230 |
9 | 207420180 |
10 | 90063000 |
11 | 46924735 |
12 | 261b3960 |
13 | 15874821 |
14 | bd65b16 |
15 | 7d90500 |
hex | 55e4098 |
90063000 has 96 divisors (see below), whose sum is σ = 304443360. Its totient is φ = 24014400.
The previous prime is 90062981. The next prime is 90063037. The reversal of 90063000 is 36009.
It is a super-2 number, since 2×900630002 = 16222687938000000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (18) 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 (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 3997 + ... + 14003.
It is an arithmetic number, because the mean of its divisors is an integer number (3171285).
Almost surely, 290063000 is an apocalyptic number.
90063000 is a gapful number since it is divisible by the number (90) 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 90063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152221680).
90063000 is an abundant number, since it is smaller than the sum of its proper divisors (214380360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90063000 is a wasteful number, since it uses less digits than its factorization.
90063000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10034 (or 10017 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 90063000 is about 9490.1527911831. The cubic root of 90063000 is about 448.2450163772.
Adding to 90063000 its reverse (36009), we get a palindrome (90099009).
The spelling of 90063000 in words is "ninety million, sixty-three thousand".
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