| Base | Representation |
|---|---|
| bin | 1010110101100… |
| … | …10101000100000 |
| 3 | 20100001200000000 |
| 4 | 11122302220200 |
| 5 | 141233043331 |
| 6 | 13004300000 |
| 7 | 2152500306 |
| oct | 532625040 |
| 9 | 210050000 |
| 10 | 90909216 |
| 11 | 47352492 |
| 12 | 26541600 |
| 13 | 15aaca48 |
| 14 | c106276 |
| 15 | 7eab0e6 |
| hex | 56b2a20 |
90909216 has 108 divisors (see below), whose sum is σ = 269072622. Its totient is φ = 30233088.
The previous prime is 90909209. The next prime is 90909223. The reversal of 90909216 is 61290909.
It is an interprime number because it is at equal distance from previous prime (90909209) and next prime (90909223).
It can be written as a sum of positive squares in only one way, i.e., 88284816 + 2624400 = 9396^2 + 1620^2 .
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
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 17 ways as a sum of consecutive naturals, for example, 209736 + ... + 210168.
Almost surely, 290909216 is an apocalyptic number.
90909216 is a gapful number since it is divisible by the number (96) 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 90909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134536311).
90909216 is an abundant number, since it is smaller than the sum of its proper divisors (178163406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90909216 is an frugal number, since it uses more digits than its factorization.
90909216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 467 (or 438 counting only the distinct ones).
The product of its (nonzero) digits is 8748, while the sum is 36.
The square root of 90909216 is about 9534.6324522763. The cubic root of 90909216 is about 449.6445192594.
It can be divided in two parts, 90909 and 216, that added together give a cube (91125 = 453).
The spelling of 90909216 in words is "ninety million, nine hundred nine thousand, two hundred sixteen".
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