Search a number
-
+
1297907712 = 21535163
BaseRepresentation
bin100110101011100…
…1000000000000000
310100110020112200000
41031113020000000
510124231021322
6332442400000
744110014333
oct11527100000
93313215600
101297907712
116066a9302
12302800000
13178b8483a
14c453861a
1578e2a3ac
hex4d5c8000

1297907712 has 192 divisors, whose sum is σ = 3912177360. Its totient is φ = 429981696.

The previous prime is 1297907711. The next prime is 1297907713. The reversal of 1297907712 is 2177097921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1297907711) and next prime (1297907713).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1297907711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962543 + ... + 7962705.

Almost surely, 21297907712 is an apocalyptic number.

1297907712 is a gapful number since it is divisible by the number (12) 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 1297907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956088680).

1297907712 is an abundant number, since it is smaller than the sum of its proper divisors (2614269648).

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

1297907712 is an frugal number, since it uses more digits than its factorization.

1297907712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 1297907712 is about 36026.4862566418. The cubic root of 1297907712 is about 1090.8070537291.

The spelling of 1297907712 in words is "one billion, two hundred ninety-seven million, nine hundred seven thousand, seven hundred twelve".