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1105380 = 223352389
BaseRepresentation
bin100001101110111100100
32002011022000
410031313210
5240333010
635405300
712252453
oct4156744
92064260
101105380
11695541
12453830
132c9193
1420ab9a
1516c7c0
hex10dde4

1105380 has 96 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 278784.

The previous prime is 1105343. The next prime is 1105387. The reversal of 1105380 is 835011.

1105380 = T111 + T112 + ... + T199.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105387) 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 31 ways as a sum of consecutive naturals, for example, 12376 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

21105380 is an apocalyptic number.

1105380 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 1105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1105380 is an abundant number, since it is smaller than the sum of its proper divisors (2523420).

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

1105380 is a wasteful number, since it uses less digits than its factorization.

1105380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1105380 is about 1051.3705341125. The cubic root of 1105380 is about 103.3960308603.

It can be divided in two parts, 1105 and 380, that added together give a triangular number (1485 = T54).

The spelling of 1105380 in words is "one million, one hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 89 90 92 108 115 135 138 178 180 207 230 267 270 276 345 356 414 445 460 534 540 621 690 801 828 890 1035 1068 1242 1335 1380 1602 1780 2047 2070 2403 2484 2670 3105 3204 4005 4094 4140 4806 5340 6141 6210 8010 8188 9612 10235 12015 12282 12420 16020 18423 20470 24030 24564 30705 36846 40940 48060 55269 61410 73692 92115 110538 122820 184230 221076 276345 368460 552690 1105380