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1106160 = 243511419
BaseRepresentation
bin100001110000011110000
32002012100220
410032003300
5240344120
635413040
712254646
oct4160360
92065326
101106160
11696090
12454180
132c9643
1420b196
1516cb40
hex10e0f0

1106160 has 80 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 267520.

The previous prime is 1106159. The next prime is 1106167. The reversal of 1106160 is 616011.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

21106160 is an apocalyptic number.

1106160 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 1106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1106160 is an abundant number, since it is smaller than the sum of its proper divisors (2643600).

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

1106160 is a wasteful number, since it uses less digits than its factorization.

1106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1106160 is about 1051.7414130859. The cubic root of 1106160 is about 103.4203452565.

The spelling of 1106160 in words is "one million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 419 440 528 660 838 880 1257 1320 1676 2095 2514 2640 3352 4190 4609 5028 6285 6704 8380 9218 10056 12570 13827 16760 18436 20112 23045 25140 27654 33520 36872 46090 50280 55308 69135 73744 92180 100560 110616 138270 184360 221232 276540 368720 553080 1106160