Base | Representation |
---|---|
bin | 11011100010000000000 |
3 | 1200211111202 |
4 | 3130100000 |
5 | 212332034 |
6 | 31200332 |
7 | 10445105 |
oct | 3342000 |
9 | 1624452 |
10 | 902144 |
11 | 566881 |
12 | 3760a8 |
13 | 257819 |
14 | 196aac |
15 | 12c47e |
hex | dc400 |
902144 has 22 divisors (see below), whose sum is σ = 1805454. Its totient is φ = 450560.
The previous prime is 902141. The next prime is 902179. The reversal of 902144 is 441209.
It can be written as a sum of positive squares in only one way, i.e., 640000 + 262144 = 800^2 + 512^2 .
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (902141) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 584 + ... + 1464.
2902144 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 902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902727).
902144 is an abundant number, since it is smaller than the sum of its proper divisors (903310).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
902144 is an equidigital number, since it uses as much as digits as its factorization.
902144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 901 (or 883 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
The square root of 902144 is about 949.8126130980. The cubic root of 902144 is about 96.6255446706.
The spelling of 902144 in words is "nine hundred two thousand, one hundred forty-four".
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