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2287040 = 26571021
BaseRepresentation
bin1000101110010111000000
311022012020012
420232113000
51041141130
6121004052
725303520
oct10562700
94265205
102287040
111322318
12923628
13620ca2
14437680
15302995
hex22e5c0

2287040 has 56 divisors (see below), whose sum is σ = 6230112. Its totient is φ = 783360.

The previous prime is 2287039. The next prime is 2287057. The reversal of 2287040 is 407822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2286997 and 2287015.

It is a congruent number.

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, 1730 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (111252).

22287040 is an apocalyptic number.

2287040 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 2287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115056).

2287040 is an abundant number, since it is smaller than the sum of its proper divisors (3943072).

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

2287040 is a wasteful number, since it uses less digits than its factorization.

2287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2287040 is about 1512.2962672704. The cubic root of 2287040 is about 131.7522134515.

Subtracting from 2287040 its product of nonzero digits (896), we obtain a square (2286144 = 15122).

The spelling of 2287040 in words is "two million, two hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1021 1120 2042 2240 4084 5105 7147 8168 10210 14294 16336 20420 28588 32672 35735 40840 57176 65344 71470 81680 114352 142940 163360 228704 285880 326720 457408 571760 1143520 2287040