Search a number
-
+
1103310 = 2325132341
BaseRepresentation
bin100001101010111001110
32002001110100
410031113032
5240301220
635351530
712243435
oct4152716
92061410
101103310
11693a2a
124525a6
132c8260
1420a11c
1516bd90
hex10d5ce

1103310 has 96 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 253440.

The previous prime is 1103309. The next prime is 1103339. The reversal of 1103310 is 133011.

It is a super-2 number, since 2×11033102 = 2434585912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1103292 and 1103301.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26890 + ... + 26930.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

21103310 is an apocalyptic number.

1103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

1103310 is an abundant number, since it is smaller than the sum of its proper divisors (2198898).

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

1103310 is a wasteful number, since it uses less digits than its factorization.

1103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1103310 is about 1050.3856434662. The cubic root of 1103310 is about 103.3314486880.

Adding to 1103310 its reverse (133011), we get a palindrome (1236321).

Subtracting from 1103310 its reverse (133011), we obtain a cube (970299 = 993).

The spelling of 1103310 in words is "one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 41 45 46 65 69 78 82 90 115 117 123 130 138 195 205 207 230 234 246 299 345 369 390 410 414 533 585 598 615 690 738 897 943 1035 1066 1170 1230 1495 1599 1794 1845 1886 2070 2665 2691 2829 2990 3198 3690 4485 4715 4797 5330 5382 5658 7995 8487 8970 9430 9594 12259 13455 14145 15990 16974 23985 24518 26910 28290 36777 42435 47970 61295 73554 84870 110331 122590 183885 220662 367770 551655 1103310