| Base | Representation |
|---|---|
| bin | 111010110011011… |
| … | …1000111101010000 |
| 3 | 12002111210100012100 |
| 4 | 1311212320331100 |
| 5 | 13020110112130 |
| 6 | 523443000400 |
| 7 | 66616214541 |
| oct | 16546707520 |
| 9 | 5074710170 |
| 10 | 1973129040 |
| 11 | 922864063 |
| 12 | 470969100 |
| 13 | 255a2969c |
| 14 | 14a0a24c8 |
| 15 | b8355c60 |
| hex | 759b8f50 |
1973129040 has 120 divisors (see below), whose sum is σ = 6642777960. Its totient is φ = 524869632.
The previous prime is 1973129027. The next prime is 1973129051. The reversal of 1973129040 is 409213791.
It can be written as a sum of positive squares in 4 ways, for example, as 109998144 + 1863130896 = 10488^2 + 43164^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 = 1973128986 and 1973129004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308596 + ... + 314924.
It is an arithmetic number, because the mean of its divisors is an integer number (55356483).
Almost surely, 21973129040 is an apocalyptic number.
1973129040 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 1973129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321388980).
1973129040 is an abundant number, since it is smaller than the sum of its proper divisors (4669648920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1973129040 is a wasteful number, since it uses less digits than its factorization.
1973129040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6781 (or 6772 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 1973129040 is about 44419.9171543577. The cubic root of 1973129040 is about 1254.2530414323.
The spelling of 1973129040 in words is "one billion, nine hundred seventy-three million, one hundred twenty-nine thousand, forty".
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