| Base | Representation |
|---|---|
| bin | 110000110100011… |
| … | …1110010101100000 |
| 3 | 11020011102200100000 |
| 4 | 1201220332111200 |
| 5 | 11323330143130 |
| 6 | 430314500000 |
| 7 | 55410612150 |
| oct | 14150762540 |
| 9 | 4204380300 |
| 10 | 1638131040 |
| 11 | 770756107 |
| 12 | 398734600 |
| 13 | 2014c6a10 |
| 14 | 1177bc760 |
| 15 | 98c32260 |
| hex | 61a3e560 |
1638131040 has 576 divisors, whose sum is σ = 7150381056. Its totient is φ = 344881152.
The previous prime is 1638131021. The next prime is 1638131059. The reversal of 1638131040 is 401318361.
1638131040 is a `hidden beast` number, since 1 + 638 + 13 + 10 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1638131021) and next prime (1638131059).
It is a super-2 number, since 2×16381310402 = 5366946608422963200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1638130995 and 1638131013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3537849 + ... + 3538311.
It is an arithmetic number, because the mean of its divisors is an integer number (12413856).
Almost surely, 21638131040 is an apocalyptic number.
1638131040 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 1638131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575190528).
1638131040 is an abundant number, since it is smaller than the sum of its proper divisors (5512250016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1638131040 is a wasteful number, since it uses less digits than its factorization.
1638131040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 513 (or 493 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 1638131040 is about 40473.8315458272. The cubic root of 1638131040 is about 1178.8255671081.
The spelling of 1638131040 in words is "one billion, six hundred thirty-eight million, one hundred thirty-one thousand, forty".
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