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2042180 = 225729503
BaseRepresentation
bin111110010100101000100
310211202100022
413302211010
51010322210
6111434312
723233610
oct7624504
93752308
102042180
111175358
12825998
135666ba
143b2340
152a5155
hex1f2944

2042180 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 674688.

The previous prime is 2042179. The next prime is 2042189. The reversal of 2042180 is 812402.

It is not an unprimeable number, because it can be changed into a prime (2042189) 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, 3809 + ... + 4311.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22042180 is an apocalyptic number.

2042180 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 2042180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2042180 is an abundant number, since it is smaller than the sum of its proper divisors (3038140).

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

2042180 is a wasteful number, since it uses less digits than its factorization.

2042180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2042180 is about 1429.0486345818. The cubic root of 2042180 is about 126.8716747897.

Adding to 2042180 its reverse (812402), we get a palindrome (2854582).

It can be divided in two parts, 2042 and 180, that added together give a palindrome (2222).

The spelling of 2042180 in words is "two million, forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 503 580 812 1006 1015 2012 2030 2515 3521 4060 5030 7042 10060 14084 14587 17605 29174 35210 58348 70420 72935 102109 145870 204218 291740 408436 510545 1021090 2042180