| Base | Representation |
|---|---|
| bin | 11001000101101… |
| … | …101100101100000 |
| 3 | 1002100001100110000 |
| 4 | 121011231211200 |
| 5 | 1330224142330 |
| 6 | 105433540000 |
| 7 | 13300553604 |
| oct | 3105554540 |
| 9 | 1070040400 |
| 10 | 420927840 |
| 11 | 1a666a353 |
| 12 | b8b74600 |
| 13 | 6928b138 |
| 14 | 3dc91504 |
| 15 | 26e49560 |
| hex | 1916d960 |
420927840 has 120 divisors (see below), whose sum is σ = 1485570240. Its totient is φ = 112243968.
The previous prime is 420927839. The next prime is 420927863. The reversal of 420927840 is 48729024.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×4209278403 (a number of 27 digits) contains 333 as substring.
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 = 420927795 and 420927804.
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 19 ways as a sum of consecutive naturals, for example, 3280 + ... + 29199.
It is an arithmetic number, because the mean of its divisors is an integer number (12379752).
Almost surely, 2420927840 is an apocalyptic number.
420927840 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 420927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742785120).
420927840 is an abundant number, since it is smaller than the sum of its proper divisors (1064642400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420927840 is a wasteful number, since it uses less digits than its factorization.
420927840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32506 (or 32489 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 420927840 is about 20516.5260217221. The cubic root of 420927840 is about 749.4382994283.
The spelling of 420927840 in words is "four hundred twenty million, nine hundred twenty-seven thousand, eight hundred forty".
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