Search a number
-
+
1100100 = 2235219193
BaseRepresentation
bin100001100100101000100
32001220001110
410030211010
5240200400
635325020
712231201
oct4144504
92056043
101100100
11691581
12450770
132c6961
14208ca8
1516ae50
hex10c944

1100100 has 72 divisors (see below), whose sum is σ = 3367840. Its totient is φ = 276480.

The previous prime is 1100093. The next prime is 1100101. The reversal of 1100100 is 10011.

Adding to 1100100 its reverse (10011), we get a palindrome (1110111).

1100100 = T229 + T230 + ... + T264.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is not an unprimeable number, because it can be changed into a prime (1100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5604 + ... + 5796.

21100100 is an apocalyptic number.

1100100 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 1100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683920).

1100100 is an abundant number, since it is smaller than the sum of its proper divisors (2267740).

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

1100100 is a wasteful number, since it uses less digits than its factorization.

1100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1100100 is about 1048.8565202162. The cubic root of 1100100 is about 103.2311395724.

The spelling of 1100100 in words is "one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 193 228 285 300 380 386 475 570 579 772 950 965 1140 1158 1425 1900 1930 2316 2850 2895 3667 3860 4825 5700 5790 7334 9650 11001 11580 14475 14668 18335 19300 22002 28950 36670 44004 55005 57900 73340 91675 110010 183350 220020 275025 366700 550050 1100100