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1105140 = 2235113163
BaseRepresentation
bin100001101110011110100
32002010222010
410031303310
5240331030
635404220
712251661
oct4156364
92063863
101105140
11695343
12453670
132c903a
1420aa68
1516c6b0
hex10dcf4

1105140 has 48 divisors (see below), whose sum is σ = 3140928. Its totient is φ = 290304.

The previous prime is 1105109. The next prime is 1105141. The reversal of 1105140 is 415011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6699 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (65436).

21105140 is an apocalyptic number.

1105140 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 1105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570464).

1105140 is an abundant number, since it is smaller than the sum of its proper divisors (2035788).

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

1105140 is a wasteful number, since it uses less digits than its factorization.

1105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1105140 is about 1051.2563911815. The cubic root of 1105140 is about 103.3885472065.

The spelling of 1105140 in words is "one million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 163 226 326 339 452 489 565 652 678 815 978 1130 1356 1630 1695 1956 2260 2445 3260 3390 4890 6780 9780 18419 36838 55257 73676 92095 110514 184190 221028 276285 368380 552570 1105140