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1297483440 = 243511372359
BaseRepresentation
bin100110101010110…
…0000011010110000
310100102102222200020
41031111200122300
510124123432230
6332425323440
744103266361
oct11525403260
93312388606
101297483440
11606439570
12302636580
13178a666a6
14c4467b68
1578d94810
hex4d5606b0

1297483440 has 240 divisors, whose sum is σ = 4522210560. Its totient is φ = 305187840.

The previous prime is 1297483427. The next prime is 1297483441. The reversal of 1297483440 is 443847921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1297483392 and 1297483401.

It is not an unprimeable number, because it can be changed into a prime (1297483441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3613981 + ... + 3614339.

It is an arithmetic number, because the mean of its divisors is an integer number (18842544).

Almost surely, 21297483440 is an apocalyptic number.

1297483440 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 1297483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261105280).

1297483440 is an abundant number, since it is smaller than the sum of its proper divisors (3224727120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1297483440 is a wasteful number, since it uses less digits than its factorization.

1297483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1297483440 is about 36020.5974409087. The cubic root of 1297483440 is about 1090.6881830977.

The spelling of 1297483440 in words is "one billion, two hundred ninety-seven million, four hundred eighty-three thousand, four hundred forty".