| Base | Representation |
|---|---|
| bin | 10111111001110… |
| … | …010010000000000 |
| 3 | 1000221121010111202 |
| 4 | 113321302100000 |
| 5 | 1310130232000 |
| 6 | 103443200332 |
| 7 | 12636435116 |
| oct | 2771622000 |
| 9 | 1027533452 |
| 10 | 401024000 |
| 11 | 1964052a3 |
| 12 | b23760a8 |
| 13 | 6510c710 |
| 14 | 3b38dab6 |
| 15 | 25316dd5 |
| hex | 17e72400 |
401024000 has 176 divisors, whose sum is σ = 1081896816. Its totient is φ = 147456000.
The previous prime is 401023991. The next prime is 401024009. The reversal of 401024000 is 420104.
It is an interprime number because it is at equal distance from previous prime (401023991) and next prime (401024009).
It can be written as a sum of positive squares in 8 ways, for example, as 154157056 + 246866944 = 12416^2 + 15712^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401024009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663880 + ... + 1664120.
It is an arithmetic number, because the mean of its divisors is an integer number (6147141).
Almost surely, 2401024000 is an apocalyptic number.
401024000 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 401024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540948408).
401024000 is an abundant number, since it is smaller than the sum of its proper divisors (680872816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401024000 is a wasteful number, since it uses less digits than its factorization.
401024000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 289 (or 261 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 401024000 is about 20025.5836369380. The cubic root of 401024000 is about 737.4345053396.
Adding to 401024000 its reverse (420104), we get a palindrome (401444104).
It can be divided in two parts, 40 and 1024000, that multiplied together give a 4-th power (40960000 = 804).
The spelling of 401024000 in words is "four hundred one million, twenty-four thousand".
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