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1117380 = 2235111693
BaseRepresentation
bin100010000110011000100
32002202202110
410100303010
5241224010
635541020
712332445
oct4206304
92082673
101117380
116a3560
1245a770
13301794
142112cc
15171120
hex110cc4

1117380 has 48 divisors (see below), whose sum is σ = 3415104. Its totient is φ = 270720.

The previous prime is 1117379. The next prime is 1117433. The reversal of 1117380 is 837111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (71148).

21117380 is an apocalyptic number.

1117380 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 1117380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707552).

1117380 is an abundant number, since it is smaller than the sum of its proper divisors (2297724).

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

1117380 is a wasteful number, since it uses less digits than its factorization.

1117380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 1117380 is about 1057.0619660171. The cubic root of 1117380 is about 103.7688406293.

It can be divided in two parts, 11 and 17380, that added together give a triangular number (17391 = T186).

The spelling of 1117380 in words is "one million, one hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1693 3386 5079 6772 8465 10158 16930 18623 20316 25395 33860 37246 50790 55869 74492 93115 101580 111738 186230 223476 279345 372460 558690 1117380