| Base | Representation |
|---|---|
| bin | 111011110110011… |
| … | …001010111011100 |
| 3 | 2120222102100102000 |
| 4 | 323312121113130 |
| 5 | 4024023143140 |
| 6 | 243345402300 |
| 7 | 33611561130 |
| oct | 7366312734 |
| 9 | 2528370360 |
| 10 | 1004115420 |
| 11 | 475884860 |
| 12 | 240339390 |
| 13 | 13004b449 |
| 14 | 974dd3c0 |
| 15 | 5d245a30 |
| hex | 3bd995dc |
1004115420 has 768 divisors, whose sum is σ = 4335206400. Its totient is φ = 186624000.
The previous prime is 1004115383. The next prime is 1004115457. The reversal of 1004115420 is 245114001.
It is an interprime number because it is at equal distance from previous prime (1004115383) and next prime (1004115457).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1004115393 and 1004115402.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24490600 + ... + 24490640.
It is an arithmetic number, because the mean of its divisors is an integer number (5644800).
Almost surely, 21004115420 is an apocalyptic number.
1004115420 is a gapful number since it is divisible by the number (10) 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 1004115420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167603200).
1004115420 is an abundant number, since it is smaller than the sum of its proper divisors (3331090980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004115420 is a wasteful number, since it uses less digits than its factorization.
1004115420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 1004115420 is about 31687.7802946183. The cubic root of 1004115420 is about 1001.3699291039.
Adding to 1004115420 its reverse (245114001), we get a palindrome (1249229421).
The spelling of 1004115420 in words is "one billion, four million, one hundred fifteen thousand, four hundred twenty".
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