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2043920 = 24529881
BaseRepresentation
bin111110011000000010000
310211211201202
413303000100
51010401140
6111450332
723241644
oct7630020
93754652
102043920
11117669a
128269a8
13567428
143b2c24
152a5915
hex1f3010

2043920 has 40 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 788480.

The previous prime is 2043911. The next prime is 2043931. The reversal of 2043920 is 293402.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 1993744 = 224^2 + 1412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2043892 and 2043901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1880 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

22043920 is an apocalyptic number.

2043920 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 2043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460780).

2043920 is an abundant number, since it is smaller than the sum of its proper divisors (2877640).

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

2043920 is a wasteful number, since it uses less digits than its factorization.

2043920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2043920 is about 1429.6573015936. The cubic root of 2043920 is about 126.9076974137.

The spelling of 2043920 in words is "two million, forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 881 1160 1762 2320 3524 4405 7048 8810 14096 17620 25549 35240 51098 70480 102196 127745 204392 255490 408784 510980 1021960 2043920