Base | Representation |
---|---|
bin | 101001001001100… |
… | …110011001101000 |
3 | 1210010002001200000 |
4 | 221021212121220 |
5 | 2403214214230 |
6 | 152301143000 |
7 | 23052103536 |
oct | 5111463150 |
9 | 1703061600 |
10 | 690382440 |
11 | 324780600 |
12 | 17325aa60 |
13 | b0052927 |
14 | 67993156 |
15 | 40922b60 |
hex | 29266668 |
690382440 has 288 divisors, whose sum is σ = 2561963040. Its totient is φ = 167080320.
The previous prime is 690382397. The next prime is 690382447. The reversal of 690382440 is 44283096.
It is a happy number.
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 = 690382395 and 690382404.
It is not an unprimeable number, because it can be changed into a prime (690382447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1175827 + ... + 1176413.
It is an arithmetic number, because the mean of its divisors is an integer number (8895705).
Almost surely, 2690382440 is an apocalyptic number.
690382440 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 690382440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280981520).
690382440 is an abundant number, since it is smaller than the sum of its proper divisors (1871580600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
690382440 is a wasteful number, since it uses less digits than its factorization.
690382440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 635 (or 608 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 690382440 is about 26275.1296856933. The cubic root of 690382440 is about 883.8188206593.
The spelling of 690382440 in words is "six hundred ninety million, three hundred eighty-two thousand, four hundred forty".
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