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2286640 = 245101283
BaseRepresentation
bin1000101110010000110000
311022011200101
420232100300
51041133030
6121002144
725302406
oct10562060
94264611
102286640
111321a94
12923354
13620a55
14437476
153027ca
hex22e430

2286640 has 40 divisors (see below), whose sum is σ = 5388048. Its totient is φ = 902400.

The previous prime is 2286629. The next prime is 2286649. The reversal of 2286640 is 466822.

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

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2286599 and 2286608.

It is not an unprimeable number, because it can be changed into a prime (2286649) 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, 7939 + ... + 8221.

22286640 is an apocalyptic number.

2286640 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 2286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694024).

2286640 is an abundant number, since it is smaller than the sum of its proper divisors (3101408).

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

2286640 is a wasteful number, since it uses less digits than its factorization.

2286640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2286640 is about 1512.1640122685. The cubic root of 2286640 is about 131.7445319129.

It can be divided in two parts, 2286 and 640, that added together give a triangular number (2926 = T76).

The spelling of 2286640 in words is "two million, two hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 283 404 505 566 808 1010 1132 1415 1616 2020 2264 2830 4040 4528 5660 8080 11320 22640 28583 57166 114332 142915 228664 285830 457328 571660 1143320 2286640