Base | Representation |
---|---|
bin | 111011000001101… |
… | …1010011111010100 |
3 | 12010000212020020100 |
4 | 1312003122133110 |
5 | 13024013401140 |
6 | 524311134100 |
7 | 100036606512 |
oct | 16603323724 |
9 | 5100766210 |
10 | 1980606420 |
11 | 927000a11 |
12 | 473374330 |
13 | 257446c80 |
14 | 14b08b4b2 |
15 | b8d31530 |
hex | 760da7d4 |
1980606420 has 144 divisors (see below), whose sum is σ = 6850705680. Its totient is φ = 458846208.
The previous prime is 1980606391. The next prime is 1980606421. The reversal of 1980606420 is 246060891.
1980606420 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 6 + 0 + 642 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 148937616 + 1831668804 = 12204^2 + 42798^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1980606421) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 14886 + ... + 64674.
It is an arithmetic number, because the mean of its divisors is an integer number (47574345).
Almost surely, 21980606420 is an apocalyptic number.
1980606420 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 1980606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425352840).
1980606420 is an abundant number, since it is smaller than the sum of its proper divisors (4870099260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1980606420 is a wasteful number, since it uses less digits than its factorization.
1980606420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49834 (or 49829 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 1980606420 is about 44504.0045389176. The cubic root of 1980606420 is about 1255.8354188517.
It can be divided in two parts, 198060 and 6420, that added together give a triangular number (204480 = T639).
The spelling of 1980606420 in words is "one billion, nine hundred eighty million, six hundred six thousand, four hundred twenty".
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