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1306980 = 2232553137
BaseRepresentation
bin100111111000101100100
32110101211200
410333011210
5313310410
644002500
714052303
oct4770544
92411750
101306980
11812a54
12530430
13369b7c
1426043a
151ac3c0
hex13f164

1306980 has 72 divisors (see below), whose sum is σ = 4068792. Its totient is φ = 339456.

The previous prime is 1306979. The next prime is 1306997. The reversal of 1306980 is 896031.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 1028196 = 528^2 + 1014^2 .

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 23 ways as a sum of consecutive naturals, for example, 9472 + ... + 9608.

It is an arithmetic number, because the mean of its divisors is an integer number (56511).

21306980 is an apocalyptic number.

1306980 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 1306980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034396).

1306980 is an abundant number, since it is smaller than the sum of its proper divisors (2761812).

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

1306980 is a wasteful number, since it uses less digits than its factorization.

1306980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1306980 is about 1143.2322598667. The cubic root of 1306980 is about 109.3342710938.

The spelling of 1306980 in words is "one million, three hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 137 159 180 212 265 274 318 411 477 530 548 636 685 795 822 954 1060 1233 1370 1590 1644 1908 2055 2385 2466 2740 3180 4110 4770 4932 6165 7261 8220 9540 12330 14522 21783 24660 29044 36305 43566 65349 72610 87132 108915 130698 145220 217830 261396 326745 435660 653490 1306980