Search a number
-
+
2190060 = 22325233
BaseRepresentation
bin1000010110101011101100
311010021012100
420112223230
51030040220
6114535100
724421005
oct10265354
94107170
102190060
111266474
12897490
135b8ac2
144101ac
152d3d90
hex216aec

2190060 has 72 divisors (see below), whose sum is σ = 6945120. Its totient is φ = 558624.

The previous prime is 2190047. The next prime is 2190077. The reversal of 2190060 is 600912.

2190060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 95209 + ... + 95231.

It is an arithmetic number, because the mean of its divisors is an integer number (96460).

22190060 is an apocalyptic number.

2190060 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 2190060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472560).

2190060 is an abundant number, since it is smaller than the sum of its proper divisors (4755060).

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

2190060 is a wasteful number, since it uses less digits than its factorization.

2190060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2190060 is about 1479.8851306774. The cubic root of 2190060 is about 129.8629719856.

Adding to 2190060 its reverse (600912), we get a palindrome (2790972).

The spelling of 2190060 in words is "two million, one hundred ninety thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 529 690 828 1035 1058 1380 1587 2070 2116 2645 3174 4140 4761 5290 6348 7935 9522 10580 12167 15870 19044 23805 24334 31740 36501 47610 48668 60835 73002 95220 109503 121670 146004 182505 219006 243340 365010 438012 547515 730020 1095030 2190060