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1316880 = 243253159
BaseRepresentation
bin101000001100000010000
32110220102100
411001200100
5314120010
644120400
714123205
oct5014020
92426370
101316880
1181a434
12536100
13371526
14263cac
151b02c0
hex141810

1316880 has 120 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 334080.

The previous prime is 1316873. The next prime is 1316881. The reversal of 1316880 is 886131.

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

It is not an unprimeable number, because it can be changed into a prime (1316881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22291 + ... + 22349.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

21316880 is an apocalyptic number.

1316880 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 1316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

1316880 is an abundant number, since it is smaller than the sum of its proper divisors (3325680).

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

1316880 is a wasteful number, since it uses less digits than its factorization.

1316880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

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

The square root of 1316880 is about 1147.5539203018. The cubic root of 1316880 is about 109.6096356101.

The spelling of 1316880 in words is "one million, three hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 59 60 62 72 80 90 93 118 120 124 144 155 177 180 186 236 240 248 279 295 310 354 360 372 465 472 496 531 558 590 620 708 720 744 885 930 944 1062 1116 1180 1240 1395 1416 1488 1770 1829 1860 2124 2232 2360 2480 2655 2790 2832 3540 3658 3720 4248 4464 4720 5310 5487 5580 7080 7316 7440 8496 9145 10620 10974 11160 14160 14632 16461 18290 21240 21948 22320 27435 29264 32922 36580 42480 43896 54870 65844 73160 82305 87792 109740 131688 146320 164610 219480 263376 329220 438960 658440 1316880