Search a number
-
+
1296995328 = 2103419823
BaseRepresentation
bin100110101001110…
…1001010000000000
310100101112012010000
41031103221100000
510124012322303
6332411040000
744066164326
oct11523512000
93311465100
101296995328
11606135872
12302440000
13178925475
14c437bd16
1578ce9da3
hex4d4e9400

1296995328 has 220 divisors, whose sum is σ = 4081881760. Its totient is φ = 409079808.

The previous prime is 1296995327. The next prime is 1296995339. The reversal of 1296995328 is 8235996921.

It is a happy number.

1296995328 is a `hidden beast` number, since 12 + 9 + 6 + 99 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296995327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575525 + ... + 1576347.

It is an arithmetic number, because the mean of its divisors is an integer number (18554008).

Almost surely, 21296995328 is an apocalyptic number.

1296995328 is a gapful number since it is divisible by the number (18) 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 1296995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040940880).

1296995328 is an abundant number, since it is smaller than the sum of its proper divisors (2784886432).

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

1296995328 is an equidigital number, since it uses as much as digits as its factorization.

1296995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 847 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 1296995328 is about 36013.8213468107. The cubic root of 1296995328 is about 1090.5513940007.

The spelling of 1296995328 in words is "one billion, two hundred ninety-six million, nine hundred ninety-five thousand, three hundred twenty-eight".