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1306960 = 24517312
BaseRepresentation
bin100111111000101010000
32110101210221
410333011100
5313310320
644002424
714052244
oct4770520
92411727
101306960
11812a36
12530414
13369b65
14260424
151ac3aa
hex13f150

1306960 has 60 divisors (see below), whose sum is σ = 3324564. Its totient is φ = 476160.

The previous prime is 1306933. The next prime is 1306961. The reversal of 1306960 is 696031.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 553536 = 868^2 + 744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42145 + ... + 42175.

21306960 is an apocalyptic number.

1306960 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 1306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662282).

1306960 is an abundant number, since it is smaller than the sum of its proper divisors (2017604).

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

1306960 is a wasteful number, since it uses less digits than its factorization.

1306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 1306960 is about 1143.2235127043. The cubic root of 1306960 is about 109.3337133968. Note that the first 3 decimals are identical.

The spelling of 1306960 in words is "one million, three hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 961 1054 1240 1360 1922 2108 2480 2635 3844 4216 4805 5270 7688 8432 9610 10540 15376 16337 19220 21080 32674 38440 42160 65348 76880 81685 130696 163370 261392 326740 653480 1306960