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1306100880 = 243257237021
BaseRepresentation
bin100110111011001…
…1000010010010000
310101000122210120200
41031312120102100
510133330212010
6333334135200
744236450200
oct11566302220
93330583520
101306100880
11610294a17
123054b1500
1317a792b76
14c566c400
15799e7cc0
hex4dd98490

1306100880 has 180 divisors, whose sum is σ = 5102594172. Its totient is φ = 298529280.

The previous prime is 1306100867. The next prime is 1306100933. The reversal of 1306100880 is 880016031.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 1035037584 = 16464^2 + 32172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16770 + ... + 53790.

Almost surely, 21306100880 is an apocalyptic number.

1306100880 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 1306100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551297086).

1306100880 is an abundant number, since it is smaller than the sum of its proper divisors (3796493292).

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

1306100880 is a wasteful number, since it uses less digits than its factorization.

1306100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37054 (or 37038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1306100880 is about 36140.0177089055. The cubic root of 1306100880 is about 1093.0975159002.

The spelling of 1306100880 in words is "one billion, three hundred six million, one hundred thousand, eight hundred eighty".