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1168080 = 243531157
BaseRepresentation
bin100011101001011010000
32012100022020
410131023100
5244334310
641011440
712633324
oct4351320
92170266
101168080
11728661
12483b80
1331b894
14225984
15181170
hex11d2d0

1168080 has 80 divisors (see below), whose sum is σ = 3761664. Its totient is φ = 299520.

The previous prime is 1168043. The next prime is 1168093. The reversal of 1168080 is 808611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1168080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7362 + ... + 7518.

21168080 is an apocalyptic number.

1168080 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 1168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880832).

1168080 is an abundant number, since it is smaller than the sum of its proper divisors (2593584).

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

1168080 is a wasteful number, since it uses less digits than its factorization.

1168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1168080 is about 1080.7774979153. Note that the first 3 decimals coincide. The cubic root of 1168080 is about 105.3151529092.

The spelling of 1168080 in words is "one million, one hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 157 186 240 248 310 314 372 465 471 496 620 628 744 785 930 942 1240 1256 1488 1570 1860 1884 2355 2480 2512 3140 3720 3768 4710 4867 6280 7440 7536 9420 9734 12560 14601 18840 19468 24335 29202 37680 38936 48670 58404 73005 77872 97340 116808 146010 194680 233616 292020 389360 584040 1168080