Search a number
-
+
1297410048 = 211361179
BaseRepresentation
bin100110101010100…
…1110100000000000
310100102022021000000
41031111032200000
510124114110143
6332424000000
744102542404
oct11525164000
93312267000
101297410048
11606399410
12302600000
13178a3c16c
14c4449104
1578d7cbd3
hex4d54e800

1297410048 has 336 divisors, whose sum is σ = 4296801600. Its totient is φ = 388177920.

The previous prime is 1297410031. The next prime is 1297410067. The reversal of 1297410048 is 8400147921.

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 = 1297409994 and 1297410021.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 16422873 + ... + 16422951.

It is an arithmetic number, because the mean of its divisors is an integer number (12788100).

Almost surely, 21297410048 is an apocalyptic number.

1297410048 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 1297410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148400800).

1297410048 is an abundant number, since it is smaller than the sum of its proper divisors (2999391552).

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

1297410048 is an frugal number, since it uses more digits than its factorization.

1297410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1297410048 is about 36019.5786760478. The cubic root of 1297410048 is about 1090.6676178265.

Adding to 1297410048 its reverse (8400147921), we get a palindrome (9697557969).

The spelling of 1297410048 in words is "one billion, two hundred ninety-seven million, four hundred ten thousand, forty-eight".