Search a number
-
+
2041920 = 26325709
BaseRepresentation
bin111110010100001000000
310211201222200
413302201000
51010320140
6111433200
723233056
oct7624100
93751880
102041920
111175141
12825800
1356654a
143b21d6
152a5030
hex1f2840

2041920 has 84 divisors (see below), whose sum is σ = 7033260. Its totient is φ = 543744.

The previous prime is 2041891. The next prime is 2041933. The reversal of 2041920 is 291402.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 1557504 = 696^2 + 1248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2041893 and 2041902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2526 + ... + 3234.

22041920 is an apocalyptic number.

2041920 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 2041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516630).

2041920 is an abundant number, since it is smaller than the sum of its proper divisors (4991340).

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

2041920 is a wasteful number, since it uses less digits than its factorization.

2041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2041920 is about 1428.9576620740. The cubic root of 2041920 is about 126.8662903418.

The spelling of 2041920 in words is "two million, forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 709 720 960 1418 1440 2127 2836 2880 3545 4254 5672 6381 7090 8508 10635 11344 12762 14180 17016 21270 22688 25524 28360 31905 34032 42540 45376 51048 56720 63810 68064 85080 102096 113440 127620 136128 170160 204192 226880 255240 340320 408384 510480 680640 1020960 2041920