Base | Representation |
---|---|
bin | 11001001101110… |
… | …111110101010000 |
3 | 1002111002000202200 |
4 | 121031313311100 |
5 | 1331301120320 |
6 | 105551443200 |
7 | 13325003241 |
oct | 3115676520 |
9 | 1074060680 |
10 | 423066960 |
11 | 1a78a0518 |
12 | b9826500 |
13 | 698599a4 |
14 | 4028acc8 |
15 | 2721d290 |
hex | 19377d50 |
423066960 has 120 divisors (see below), whose sum is σ = 1431504360. Its totient is φ = 111968256.
The previous prime is 423066953. The next prime is 423066983. The reversal of 423066960 is 69660324.
It can be written as a sum of positive squares in 4 ways, for example, as 149230656 + 273836304 = 12216^2 + 16548^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96496 + ... + 100784.
It is an arithmetic number, because the mean of its divisors is an integer number (11929203).
Almost surely, 2423066960 is an apocalyptic number.
423066960 is a gapful number since it is divisible by the number (40) 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 423066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715752180).
423066960 is an abundant number, since it is smaller than the sum of its proper divisors (1008437400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423066960 is a wasteful number, since it uses less digits than its factorization.
423066960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4445 (or 4436 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 423066960 is about 20568.5915900919. The cubic root of 423066960 is about 750.7056824747.
The spelling of 423066960 in words is "four hundred twenty-three million, sixty-six thousand, nine hundred sixty".
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