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1166160 = 243543113
BaseRepresentation
bin100011100101101010000
32012020200010
410130231100
5244304120
640554520
712624612
oct4345520
92166603
101166160
11727176
12482a40
1331aa48
14224db2
151807e0
hex11cb50

1166160 has 80 divisors (see below), whose sum is σ = 3731904. Its totient is φ = 301056.

The previous prime is 1166153. The next prime is 1166213. The reversal of 1166160 is 616611.

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

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, 10264 + ... + 10376.

21166160 is an apocalyptic number.

1166160 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 1166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865952).

1166160 is an abundant number, since it is smaller than the sum of its proper divisors (2565744).

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

1166160 is a wasteful number, since it uses less digits than its factorization.

1166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1166160 is about 1079.8888831727. Note that the first 5 decimals coincide. The cubic root of 1166160 is about 105.2574182835.

It can be divided in two parts, 1166 and 160, that added together give a triangular number (1326 = T51).

The spelling of 1166160 in words is "one million, one hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 113 120 129 172 215 226 240 258 339 344 430 452 516 565 645 678 688 860 904 1032 1130 1290 1356 1695 1720 1808 2064 2260 2580 2712 3390 3440 4520 4859 5160 5424 6780 9040 9718 10320 13560 14577 19436 24295 27120 29154 38872 48590 58308 72885 77744 97180 116616 145770 194360 233232 291540 388720 583080 1166160