Search a number
-
+
2019940 = 2251317457
BaseRepresentation
bin111101101001001100100
310210121211121
413231021210
51004114230
6111143324
723112016
oct7551144
93717747
102019940
11115a67a
12814b44
13559540
143a81b6
1529d77a
hex1ed264

2019940 has 48 divisors (see below), whose sum is σ = 4847472. Its totient is φ = 700416.

The previous prime is 2019931. The next prime is 2019959. The reversal of 2019940 is 499102.

It can be written as a sum of positive squares in 8 ways, for example, as 14884 + 2005056 = 122^2 + 1416^2 .

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, 4192 + ... + 4648.

It is an arithmetic number, because the mean of its divisors is an integer number (100989).

22019940 is an apocalyptic number.

2019940 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 2019940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423736).

2019940 is an abundant number, since it is smaller than the sum of its proper divisors (2827532).

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

2019940 is a wasteful number, since it uses less digits than its factorization.

2019940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 2019940 is about 1421.2459322721. The cubic root of 2019940 is about 126.4094348830.

The spelling of 2019940 in words is "two million, nineteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 457 884 914 1105 1828 2210 2285 4420 4570 5941 7769 9140 11882 15538 23764 29705 31076 38845 59410 77690 100997 118820 155380 201994 403988 504985 1009970 2019940