Base | Representation |
---|---|
bin | 1010101110101… |
… | …01100000000000 |
3 | 20021100122112100 |
4 | 11113111200000 |
5 | 141020102311 |
6 | 12533030400 |
7 | 2142005514 |
oct | 527254000 |
9 | 207318470 |
10 | 90003456 |
11 | 46893a24 |
12 | 26185400 |
13 | 158536aa |
14 | bd4c144 |
15 | 7d7ca56 |
hex | 55d5800 |
90003456 has 144 divisors (see below), whose sum is σ = 274692600. Its totient is φ = 28311552.
The previous prime is 90003413. The next prime is 90003461. The reversal of 90003456 is 65430009.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350080 + ... + 350336.
Almost surely, 290003456 is an apocalyptic number.
90003456 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 90003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137346300).
90003456 is an abundant number, since it is smaller than the sum of its proper divisors (184689144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90003456 is a wasteful number, since it uses less digits than its factorization.
90003456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 281 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 90003456 is about 9487.0151259498. The cubic root of 90003456 is about 448.1462107804.
The spelling of 90003456 in words is "ninety million, three thousand, four hundred fifty-six".
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