| Base | Representation |
|---|---|
| bin | 111010100110000… |
| … | …0101101000000000 |
| 3 | 12002000120101100010 |
| 4 | 1311030011220000 |
| 5 | 13011310244130 |
| 6 | 523032224520 |
| 7 | 66502412556 |
| oct | 16514055000 |
| 9 | 5060511303 |
| 10 | 1966103040 |
| 11 | 9198a5350 |
| 12 | 46a53b140 |
| 13 | 2544396a5 |
| 14 | 149193bd6 |
| 15 | b79190b0 |
| hex | 75305a00 |
1966103040 has 480 divisors, whose sum is σ = 7461647424. Its totient is φ = 436469760.
The previous prime is 1966103011. The next prime is 1966103059. The reversal of 1966103040 is 403016691.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×19661030402 = 7731122327794483200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1966102989 and 1966103007.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53137902 + ... + 53137938.
Almost surely, 21966103040 is an apocalyptic number.
1966103040 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 1966103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730823712).
1966103040 is an abundant number, since it is smaller than the sum of its proper divisors (5495544384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1966103040 is a wasteful number, since it uses less digits than its factorization.
1966103040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 30.
The square root of 1966103040 is about 44340.7604806232. The cubic root of 1966103040 is about 1252.7625387395.
The spelling of 1966103040 in words is "one billion, nine hundred sixty-six million, one hundred three thousand, forty".
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