Search a number
-
+
2091100 = 2252111901
BaseRepresentation
bin111111110100001011100
310221020110011
413332201130
51013403400
6112453004
723526334
oct7764134
93836404
102091100
1111a9090
1284a164
13582a4b
143c60c4
152b48ba
hex1fe85c

2091100 has 36 divisors (see below), whose sum is σ = 4952808. Its totient is φ = 760000.

The previous prime is 2091097. The next prime is 2091139. The reversal of 2091100 is 11902.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150 + ... + 2050.

It is an arithmetic number, because the mean of its divisors is an integer number (137578).

22091100 is an apocalyptic number.

2091100 is a gapful number since it is divisible by the number (20) 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 2091100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476404).

2091100 is an abundant number, since it is smaller than the sum of its proper divisors (2861708).

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

2091100 is a wasteful number, since it uses less digits than its factorization.

2091100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2091100 is about 1446.0636223901. The cubic root of 2091100 is about 127.8767531126.

The spelling of 2091100 in words is "two million, ninety-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1901 3802 7604 9505 19010 20911 38020 41822 47525 83644 95050 104555 190100 209110 418220 522775 1045550 2091100