Search a number
-
+
2141046 = 233311279
BaseRepresentation
bin1000001010101101110110
311000202222000
420022231312
51022003141
6113520130
724125055
oct10125566
94022860
102141046
111232666
12873046
1359c6bb
143da39c
152c45b6
hex20ab76

2141046 has 32 divisors (see below), whose sum is σ = 4915200. Its totient is φ = 690120.

The previous prime is 2141033. The next prime is 2141057. The reversal of 2141046 is 6401412.

2141046 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 Ulam number.

It is a Curzon number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1035 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (153600).

22141046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457600).

2141046 is an abundant number, since it is smaller than the sum of its proper divisors (2774154).

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

2141046 is a wasteful number, since it uses less digits than its factorization.

2141046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141046 is about 1463.2313555962. The cubic root of 2141046 is about 128.8868667384.

Adding to 2141046 its reverse (6401412), we get a palindrome (8542458).

The spelling of 2141046 in words is "two million, one hundred forty-one thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1279 1674 2558 3837 7674 11511 23022 34533 39649 69066 79298 118947 237894 356841 713682 1070523 2141046