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2000440 = 235133847
BaseRepresentation
bin111101000011000111000
310202122002101
413220120320
51003003230
6110513144
723001121
oct7503070
93678071
102000440
111146a62
128057b4
135506c0
143a1048
15297aca
hex1e8638

2000440 has 32 divisors (see below), whose sum is σ = 4848480. Its totient is φ = 738432.

The previous prime is 2000429. The next prime is 2000447. The reversal of 2000440 is 440002.

It is a Harshad number since it is a multiple of its sum of digits (10).

2000440 is a modest number, since divided by 440 gives 200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404 + ... + 2443.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

22000440 is an apocalyptic number.

2000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000440 is an abundant number, since it is smaller than the sum of its proper divisors (2848040).

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

2000440 is a wasteful number, since it uses less digits than its factorization.

2000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2000440 is about 1414.3691173099. The cubic root of 2000440 is about 126.0013437330.

Adding to 2000440 its reverse (440002), we get a palindrome (2440442).

The spelling of 2000440 in words is "two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3847 7694 15388 19235 30776 38470 50011 76940 100022 153880 200044 250055 400088 500110 1000220 2000440