Base | Representation |
---|---|
bin | 100101111110111… |
… | …0000100000000000 |
3 | 10021211011022202200 |
4 | 1023331300200000 |
5 | 10102231340030 |
6 | 330244313200 |
7 | 43403622666 |
oct | 11375604000 |
9 | 3254138680 |
10 | 1274480640 |
11 | 5a4458194 |
12 | 2b69a2800 |
13 | 174071574 |
14 | c139ac36 |
15 | 76d4dd60 |
hex | 4bf70800 |
1274480640 has 144 divisors (see below), whose sum is σ = 4417440300. Its totient is φ = 339836928.
The previous prime is 1274480629. The next prime is 1274480659. The reversal of 1274480640 is 460844721.
1274480640 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 4 + 8 + 0 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1187767296 + 86713344 = 34464^2 + 9312^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 = 1274480595 and 1274480604.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85246 + ... + 99074.
Almost surely, 21274480640 is an apocalyptic number.
1274480640 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 1274480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208720150).
1274480640 is an abundant number, since it is smaller than the sum of its proper divisors (3142959660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1274480640 is a wasteful number, since it uses less digits than its factorization.
1274480640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13862 (or 13839 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The square root of 1274480640 is about 35699.8689073223. The cubic root of 1274480640 is about 1084.2041889650.
The spelling of 1274480640 in words is "one billion, two hundred seventy-four million, four hundred eighty thousand, six hundred forty".
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