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2144840 = 23529432
BaseRepresentation
bin1000001011101001001000
311000222011112
420023221020
51022113330
6113545452
724142115
oct10135110
94028145
102144840
1112354a5
12875288
135a1349
143db90c
152c5795
hex20ba48

2144840 has 48 divisors (see below), whose sum is σ = 5111100. Its totient is φ = 809088.

The previous prime is 2144837. The next prime is 2144843. The reversal of 2144840 is 484412.

It is an interprime number because it is at equal distance from previous prime (2144837) and next prime (2144843).

It can be written as a sum of positive squares in 2 ways, for example, as 2137444 + 7396 = 1462^2 + 86^2 .

It is not an unprimeable number, because it can be changed into a prime (2144843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49859 + ... + 49901.

22144840 is an apocalyptic number.

2144840 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 2144840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555550).

2144840 is an abundant number, since it is smaller than the sum of its proper divisors (2966260).

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

2144840 is a wasteful number, since it uses less digits than its factorization.

2144840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2144840 is about 1464.5272274697. The cubic root of 2144840 is about 128.9629523242.

The spelling of 2144840 in words is "two million, one hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 344 430 580 860 1160 1247 1720 1849 2494 3698 4988 6235 7396 9245 9976 12470 14792 18490 24940 36980 49880 53621 73960 107242 214484 268105 428968 536210 1072420 2144840