Search a number
-
+
2018772 = 223278011
BaseRepresentation
bin111101100110111010100
310210120020100
413230313110
51004100042
6111134100
723105430
oct7546724
93716210
102018772
111159808
12814330
13558b52
143a79c0
1529d24c
hex1ecdd4

2018772 has 36 divisors (see below), whose sum is σ = 5832736. Its totient is φ = 576720.

The previous prime is 2018761. The next prime is 2018773. The reversal of 2018772 is 2778102.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018773) 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 11 ways as a sum of consecutive naturals, for example, 3754 + ... + 4257.

22018772 is an apocalyptic number.

It is an amenable number.

2018772 is an abundant number, since it is smaller than the sum of its proper divisors (3813964).

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

2018772 is a wasteful number, since it uses less digits than its factorization.

2018772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2018772 is about 1420.8349657860. The cubic root of 2018772 is about 126.3850653989.

The spelling of 2018772 in words is "two million, eighteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8011 16022 24033 32044 48066 56077 72099 96132 112154 144198 168231 224308 288396 336462 504693 672924 1009386 2018772