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2021844 = 2231117253
BaseRepresentation
bin111101101100111010100
310210201110010
413231213110
51004144334
6111200220
723120406
oct7554724
93721403
102021844
111161050
12816070
1355a376
143a8b76
1529e0e9
hex1ed9d4

2021844 has 72 divisors (see below), whose sum is σ = 5570208. Its totient is φ = 565760.

The previous prime is 2021843. The next prime is 2021849. The reversal of 2021844 is 4481202.

It is a self number, because there is not a number n which added to its sum of digits gives 2021844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38122 + ... + 38174.

It is an arithmetic number, because the mean of its divisors is an integer number (77364).

22021844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785104).

2021844 is an abundant number, since it is smaller than the sum of its proper divisors (3548364).

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

2021844 is a wasteful number, since it uses less digits than its factorization.

2021844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2021844 is about 1421.9156093102. The cubic root of 2021844 is about 126.4491403496.

The spelling of 2021844 in words is "two million, twenty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 102 106 132 159 187 204 212 289 318 374 561 578 583 636 748 867 901 1122 1156 1166 1734 1749 1802 2244 2332 2703 3179 3468 3498 3604 5406 6358 6996 9537 9911 10812 12716 15317 19074 19822 29733 30634 38148 39644 45951 59466 61268 91902 118932 168487 183804 336974 505461 673948 1010922 2021844