Base | Representation |
---|---|
bin | 111010110101001… |
… | …1001111101010000 |
3 | 12002120112011101200 |
4 | 1311222121331100 |
5 | 13020324110030 |
6 | 523514431200 |
7 | 66630103452 |
oct | 16552317520 |
9 | 5076464350 |
10 | 1974050640 |
11 | 923333511 |
12 | 471132500 |
13 | 255c90003 |
14 | 14a2622d2 |
15 | b8488d60 |
hex | 75a99f50 |
1974050640 has 120 divisors (see below), whose sum is σ = 6808788168. Its totient is φ = 512179200.
The previous prime is 1974050627. The next prime is 1974050711. The reversal of 1974050640 is 460504791.
1974050640 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 0 + 5 + 0 + 640 = 666.
1974050640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 497646864 + 1476403776 = 22308^2 + 38424^2 .
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 = 1974050595 and 1974050604.
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, 10411 + ... + 63690.
Almost surely, 21974050640 is an apocalyptic number.
1974050640 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 1974050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404394084).
1974050640 is an abundant number, since it is smaller than the sum of its proper divisors (4834737528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1974050640 is a wasteful number, since it uses less digits than its factorization.
1974050640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74157 (or 74148 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 1974050640 is about 44430.2896681982. The cubic root of 1974050640 is about 1254.4482879433.
The spelling of 1974050640 in words is "one billion, nine hundred seventy-four million, fifty thousand, six hundred forty".
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