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2142180 = 223353967
BaseRepresentation
bin1000001010111111100100
311000211112000
420022333210
51022022210
6113525300
724131265
oct10127744
94024460
102142180
1112334a7
12873830
135a0081
143da96c
152c4ac0
hex20afe4

2142180 has 48 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 571104.

The previous prime is 2142169. The next prime is 2142181. The reversal of 2142180 is 812412.

2142180 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 not an unprimeable number, because it can be changed into a prime (2142181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

22142180 is an apocalyptic number.

2142180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142180 is an abundant number, since it is smaller than the sum of its proper divisors (4524060).

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

2142180 is a wasteful number, since it uses less digits than its factorization.

2142180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3977 counting only the distinct ones).

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

The square root of 2142180 is about 1463.6188028308. The cubic root of 2142180 is about 128.9096175980.

Adding to 2142180 its reverse (812412), we get a palindrome (2954592).

The spelling of 2142180 in words is "two million, one hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3967 7934 11901 15868 19835 23802 35703 39670 47604 59505 71406 79340 107109 119010 142812 178515 214218 238020 357030 428436 535545 714060 1071090 2142180