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1308960 = 25345101
BaseRepresentation
bin100111111100100100000
32110111120000
410333210200
5313341320
644020000
714061132
oct4774440
92414500
101308960
11814494
12531600
1336aa43
14261052
151acc90
hex13f920

1308960 has 120 divisors (see below), whose sum is σ = 4665276. Its totient is φ = 345600.

The previous prime is 1308943. The next prime is 1308977. The reversal of 1308960 is 698031.

It is an interprime number because it is at equal distance from previous prime (1308943) and next prime (1308977).

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 63504 = 1116^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12910 + ... + 13010.

21308960 is an apocalyptic number.

1308960 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 1308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332638).

1308960 is an abundant number, since it is smaller than the sum of its proper divisors (3356316).

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

1308960 is a wasteful number, since it uses less digits than its factorization.

1308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

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

The square root of 1308960 is about 1144.0978979091. The cubic root of 1308960 is about 109.3894549603.

The spelling of 1308960 in words is "one million, three hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 101 108 120 135 144 160 162 180 202 216 240 270 288 303 324 360 404 405 432 480 505 540 606 648 720 808 810 864 909 1010 1080 1212 1296 1440 1515 1616 1620 1818 2020 2160 2424 2592 2727 3030 3232 3240 3636 4040 4320 4545 4848 5454 6060 6480 7272 8080 8181 9090 9696 10908 12120 12960 13635 14544 16160 16362 18180 21816 24240 27270 29088 32724 36360 40905 43632 48480 54540 65448 72720 81810 87264 109080 130896 145440 163620 218160 261792 327240 436320 654480 1308960