Base | Representation |
---|---|
bin | 1010110100010… |
… | …10110010010000 |
3 | 20022202101002222 |
4 | 11122022302100 |
5 | 141212333000 |
6 | 13001000212 |
7 | 2151220412 |
oct | 532126220 |
9 | 208671088 |
10 | 90746000 |
11 | 472508a4 |
12 | 26483068 |
13 | 15a53677 |
14 | c0a29b2 |
15 | 7e77a85 |
hex | 568ac90 |
90746000 has 120 divisors (see below), whose sum is σ = 234575016. Its totient is φ = 33945600.
The previous prime is 90745999. The next prime is 90746027. The reversal of 90746000 is 64709.
It can be written as a sum of positive squares in 12 ways, for example, as 47554816 + 43191184 = 6896^2 + 6572^2 .
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, 577922 + ... + 578078.
Almost surely, 290746000 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 90746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117287508).
90746000 is an abundant number, since it is smaller than the sum of its proper divisors (143829016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90746000 is a wasteful number, since it uses less digits than its factorization.
90746000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 181 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 26.
The square root of 90746000 is about 9526.0694937629. The cubic root of 90746000 is about 449.3752647684.
The spelling of 90746000 in words is "ninety million, seven hundred forty-six thousand".
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