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2040440 = 235291759
BaseRepresentation
bin111110010001001111000
310211122221212
413302021320
51010243230
6111422252
723225543
oct7621170
93748855
102040440
111174016
12824988
1356597c
143b185a
152a4895
hex1f2278

2040440 has 32 divisors (see below), whose sum is σ = 4752000. Its totient is φ = 787584.

The previous prime is 2040433. The next prime is 2040443. The reversal of 2040440 is 440402.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 281 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

22040440 is an apocalyptic number.

2040440 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 2040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376000).

2040440 is an abundant number, since it is smaller than the sum of its proper divisors (2711560).

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

2040440 is a wasteful number, since it uses less digits than its factorization.

2040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2040440 is about 1428.4397082131. The cubic root of 2040440 is about 126.8356316983.

Adding to 2040440 its reverse (440402), we get a palindrome (2480842).

The spelling of 2040440 in words is "two million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1759 3518 7036 8795 14072 17590 35180 51011 70360 102022 204044 255055 408088 510110 1020220 2040440