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2293840 = 24553541
BaseRepresentation
bin1000110000000001010000
311022112120001
420300001100
51041400330
6121055344
725332403
oct10600120
94275501
102293840
11132743a
12927554
13624103
14439d3a
153049ca
hex230050

2293840 has 40 divisors (see below), whose sum is σ = 5443848. Its totient is φ = 898560.

The previous prime is 2293831. The next prime is 2293847. The reversal of 2293840 is 483922.

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 1971216 = 568^2 + 1404^2 .

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

It is a d-powerful number, because it can be written as 2 + 217 + 94 + 310 + 87 + 4 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2293799 and 2293808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3970 + ... + 4510.

22293840 is an apocalyptic number.

2293840 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 2293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721924).

2293840 is an abundant number, since it is smaller than the sum of its proper divisors (3150008).

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

2293840 is a wasteful number, since it uses less digits than its factorization.

2293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2293840 is about 1514.5428353137. The cubic root of 2293840 is about 131.8826627923.

Adding to 2293840 its product of nonzero digits (3456), we get a triangular number (2297296 = T2143).

The spelling of 2293840 in words is "two million, two hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 541 848 1060 1082 2120 2164 2705 4240 4328 5410 8656 10820 21640 28673 43280 57346 114692 143365 229384 286730 458768 573460 1146920 2293840