Search a number
-
+
2142021 = 37102001
BaseRepresentation
bin1000001010111101000101
311000211022010
420022331011
51022021041
6113524433
724130650
oct10127505
94024263
102142021
111233372
12873719
1359cc8b
143da897
152c4a16
hex20af45

2142021 has 8 divisors (see below), whose sum is σ = 3264064. Its totient is φ = 1224000.

The previous prime is 2142001. The next prime is 2142029. The reversal of 2142021 is 1202412.

Adding to 2142021 its reverse (1202412), we get a palindrome (3344433).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2142021 - 215 = 2109253 is a prime.

It is an Ulam number.

It is a Duffinian number.

2142021 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2141988 and 2142006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50980 + ... + 51021.

It is an arithmetic number, because the mean of its divisors is an integer number (408008).

22142021 is an apocalyptic number.

2142021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2142021 is a deficient number, since it is larger than the sum of its proper divisors (1122043).

2142021 is a wasteful number, since it uses less digits than its factorization.

2142021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102011.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2142021 is about 1463.5644844010. The cubic root of 2142021 is about 128.9064281467.

The spelling of 2142021 in words is "two million, one hundred forty-two thousand, twenty-one".

Divisors: 1 3 7 21 102001 306003 714007 2142021