| Base | Representation |
|---|---|
| bin | 100110010010100… |
| … | …111011010100000 |
| 3 | 1122202211000200000 |
| 4 | 212102213122200 |
| 5 | 2303424223430 |
| 6 | 143425100000 |
| 7 | 21630300546 |
| oct | 4622473240 |
| 9 | 1582730600 |
| 10 | 642414240 |
| 11 | 2aa698366 |
| 12 | 15b187600 |
| 13 | a3129290 |
| 14 | 61467d96 |
| 15 | 3b5e9e60 |
| hex | 264a76a0 |
642414240 has 576 divisors, whose sum is σ = 2588931072. Its totient is φ = 149299200.
The previous prime is 642414229. The next prime is 642414251. The reversal of 642414240 is 42414246.
It is a happy number.
642414240 is a `hidden beast` number, since 6 + 4 + 2 + 414 + 240 = 666.
It is an interprime number because it is at equal distance from previous prime (642414229) and next prime (642414251).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 15668620 + ... + 15668660.
It is an arithmetic number, because the mean of its divisors is an integer number (4494672).
Almost surely, 2642414240 is an apocalyptic number.
642414240 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 642414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294465536).
642414240 is an abundant number, since it is smaller than the sum of its proper divisors (1946516832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
642414240 is a wasteful number, since it uses less digits than its factorization.
642414240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 642414240 is about 25345.8919748349. The cubic root of 642414240 is about 862.8561251479.
Adding to 642414240 its reverse (42414246), we get a palindrome (684828486).
The spelling of 642414240 in words is "six hundred forty-two million, four hundred fourteen thousand, two hundred forty".
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