Search a number
-
+
2196090 = 2325131877
BaseRepresentation
bin1000011000001001111010
311010120110200
420120021322
51030233330
6115023030
724444411
oct10301172
94116420
102196090
11126aa56
1289aa76
135bb780
14412478
152d5a60
hex21827a

2196090 has 48 divisors (see below), whose sum is σ = 6152328. Its totient is φ = 540288.

The previous prime is 2196079. The next prime is 2196091. The reversal of 2196090 is 906912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1505529 + 690561 = 1227^2 + 831^2 .

It is a super-2 number, since 2×21960902 = 9645622576200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2196091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232 + ... + 2108.

22196090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076164).

2196090 is an abundant number, since it is smaller than the sum of its proper divisors (3956238).

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

2196090 is a wasteful number, since it uses less digits than its factorization.

2196090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2196090 is about 1481.9210505287. The cubic root of 2196090 is about 129.9820488034.

The spelling of 2196090 in words is "two million, one hundred ninety-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1877 3754 5631 9385 11262 16893 18770 24401 28155 33786 48802 56310 73203 84465 122005 146406 168930 219609 244010 366015 439218 732030 1098045 2196090