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1100385 = 345111319
BaseRepresentation
bin100001100101001100001
32001220110000
410030221201
5240203020
635330213
712232056
oct4145141
92056400
101100385
11691810
12450969
132c6b20
1420902d
1516b090
hex10ca61

1100385 has 80 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 466560.

The previous prime is 1100381. The next prime is 1100387. The reversal of 1100385 is 5830011.

It is a happy number.

1100385 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 1100385 - 22 = 1100381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100381) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57906 + ... + 57924.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

21100385 is an apocalyptic number.

1100385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100385 is an abundant number, since it is smaller than the sum of its proper divisors (1338975).

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

1100385 is a wasteful number, since it uses less digits than its factorization.

1100385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

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

The square root of 1100385 is about 1048.9923736615. The cubic root of 1100385 is about 103.2400534089.

Adding to 1100385 its reverse (5830011), we get a palindrome (6930396).

It can be divided in two parts, 1100 and 385, that added together give a triangular number (1485 = T54).

The spelling of 1100385 in words is "one million, one hundred thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 19 27 33 39 45 55 57 65 81 95 99 117 135 143 165 171 195 209 247 285 297 351 405 429 495 513 585 627 715 741 855 891 1045 1053 1235 1287 1485 1539 1755 1881 2145 2223 2565 2717 3135 3705 3861 4455 5265 5643 6435 6669 7695 8151 9405 11115 11583 13585 16929 19305 20007 24453 28215 33345 40755 57915 73359 84645 100035 122265 220077 366795 1100385