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1297200960 = 263351113649
BaseRepresentation
bin100110101010001…
…1011011101000000
310100101220122012000
41031110123131000
510124040412320
6332415304000
744101011666
oct11524333500
93311818160
101297200960
11606266310
1230251b000
13178997c43
14c43d2c36
1578d3ac90
hex4d51b740

1297200960 has 224 divisors, whose sum is σ = 4992624000. Its totient is φ = 314449920.

The previous prime is 1297200953. The next prime is 1297200973. The reversal of 1297200960 is 690027921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88216 + ... + 101864.

It is an arithmetic number, because the mean of its divisors is an integer number (22288500).

Almost surely, 21297200960 is an apocalyptic number.

1297200960 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 1297200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312000).

1297200960 is an abundant number, since it is smaller than the sum of its proper divisors (3695423040).

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

1297200960 is a wasteful number, since it uses less digits than its factorization.

1297200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13686 (or 13670 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1297200960 is about 36016.6761375894. The cubic root of 1297200960 is about 1090.6090247439.

The spelling of 1297200960 in words is "one billion, two hundred ninety-seven million, two hundred thousand, nine hundred sixty".