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2180142 = 23347859
BaseRepresentation
bin1000010100010000101110
311002202121000
420110100232
51024231032
6114421130
724350046
oct10242056
94082530
102180142
111259a78
128917a6
135b4433
1440a726
152d0e7c
hex21442e

2180142 has 32 divisors (see below), whose sum is σ = 4953600. Its totient is φ = 710424.

The previous prime is 2180141. The next prime is 2180149. The reversal of 2180142 is 2410812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 2967.

It is an arithmetic number, because the mean of its divisors is an integer number (154800).

22180142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476800).

2180142 is an abundant number, since it is smaller than the sum of its proper divisors (2773458).

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

2180142 is a wasteful number, since it uses less digits than its factorization.

2180142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2180142 is about 1476.5303925081. The cubic root of 2180142 is about 129.6666409671. Note that the first 4 decimals are identical.

Adding to 2180142 its reverse (2410812), we get a palindrome (4590954).

The spelling of 2180142 in words is "two million, one hundred eighty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 859 1269 1718 2538 2577 5154 7731 15462 23193 40373 46386 80746 121119 242238 363357 726714 1090071 2180142