Base | Representation |
---|---|
bin | 101001001000011… |
… | …101111001000000 |
3 | 1210002111222021000 |
4 | 221020131321000 |
5 | 2403130213230 |
6 | 152250532000 |
7 | 23046425622 |
oct | 5110357100 |
9 | 1702458230 |
10 | 690085440 |
11 | 324598450 |
12 | 173137000 |
13 | acc7a6a5 |
14 | 67916c12 |
15 | 408b4b60 |
hex | 2921de40 |
690085440 has 448 divisors, whose sum is σ = 2725643520. Its totient is φ = 162938880.
The previous prime is 690085411. The next prime is 690085447. The reversal of 690085440 is 44580096.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 690085395 and 690085404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (690085447) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5037052 + ... + 5037188.
Almost surely, 2690085440 is an apocalyptic number.
690085440 is a gapful number since it is divisible by the number (60) 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 690085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362821760).
690085440 is an abundant number, since it is smaller than the sum of its proper divisors (2035558080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
690085440 is a wasteful number, since it uses less digits than its factorization.
690085440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 227 (or 211 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 690085440 is about 26269.4773453908. The cubic root of 690085440 is about 883.6920639398.
The spelling of 690085440 in words is "six hundred ninety million, eighty-five thousand, four hundred forty".
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