Search a number
-
+
1103382 = 23472139
BaseRepresentation
bin100001101011000010110
32002001120000
410031120112
5240302012
635352130
712243600
oct4153026
92061500
101103382
11693a95
12452646
132c82b7
1420a170
1516bddc
hex10d616

1103382 has 60 divisors (see below), whose sum is σ = 2896740. Its totient is φ = 312984.

The previous prime is 1103371. The next prime is 1103437. The reversal of 1103382 is 2833011.

It is a super-3 number, since 3×11033823 = 4029943331496776904, which contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7869 + ... + 8007.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

21103382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448370).

1103382 is an abundant number, since it is smaller than the sum of its proper divisors (1793358).

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

1103382 is a wasteful number, since it uses less digits than its factorization.

1103382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1103382 is about 1050.4199160336. The cubic root of 1103382 is about 103.3336963798. Note that the first 3 decimals are identical.

Adding to 1103382 its reverse (2833011), we get a palindrome (3936393).

It can be divided in two parts, 1103 and 382, that added together give a triangular number (1485 = T54).

The spelling of 1103382 in words is "one million, one hundred three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 139 147 162 189 278 294 378 417 441 567 834 882 973 1134 1251 1323 1946 2502 2646 2919 3753 3969 5838 6811 7506 7938 8757 11259 13622 17514 20433 22518 26271 40866 52542 61299 78813 122598 157626 183897 367794 551691 1103382