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1106380 = 2251147107
BaseRepresentation
bin100001110000111001100
32002012200001
410032013030
5240401010
635414044
712255412
oct4160714
92065601
101106380
11696270
12454324
132c9782
1420b2b2
1516cc3a
hex10e1cc

1106380 has 48 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 390080.

The previous prime is 1106363. The next prime is 1106381. The reversal of 1106380 is 836011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106381) 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, 10287 + ... + 10393.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

21106380 is an apocalyptic number.

1106380 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 1106380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

1106380 is an abundant number, since it is smaller than the sum of its proper divisors (1506356).

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

1106380 is a wasteful number, since it uses less digits than its factorization.

1106380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1106380 is about 1051.8459963322. The cubic root of 1106380 is about 103.4272010964.

The spelling of 1106380 in words is "one million, one hundred six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 107 110 188 214 220 235 428 470 517 535 940 1034 1070 1177 2068 2140 2354 2585 4708 5029 5170 5885 10058 10340 11770 20116 23540 25145 50290 55319 100580 110638 221276 276595 553190 1106380