Search a number
-
+
1100220 = 2235111667
BaseRepresentation
bin100001100100110111100
32001220012220
410030212330
5240201340
635325340
712231432
oct4144674
92056186
101100220
11691680
12450850
132c6a24
14208d52
1516aed0
hex10c9bc

1100220 has 48 divisors (see below), whose sum is σ = 3362688. Its totient is φ = 266560.

The previous prime is 1100219. The next prime is 1100243. The reversal of 1100220 is 220011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1100199 and 1100208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (70056).

21100220 is an apocalyptic number.

1100220 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 1100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681344).

1100220 is an abundant number, since it is smaller than the sum of its proper divisors (2262468).

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

1100220 is a wasteful number, since it uses less digits than its factorization.

1100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1100220 is about 1048.9137238114. The cubic root of 1100220 is about 103.2348929543.

Adding to 1100220 its reverse (220011), we get a palindrome (1320231).

The spelling of 1100220 in words is "one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1667 3334 5001 6668 8335 10002 16670 18337 20004 25005 33340 36674 50010 55011 73348 91685 100020 110022 183370 220044 275055 366740 550110 1100220