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2261040 = 24359421
BaseRepresentation
bin1000101000000000110000
311020212120020
420220000300
51034323130
6120243440
725134645
oct10500060
94225506
102261040
111304831
12910580
136121c2
1442bdcc
152e9e10
hex228030

2261040 has 40 divisors (see below), whose sum is σ = 7009968. Its totient is φ = 602880.

The previous prime is 2261023. The next prime is 2261041. The reversal of 2261040 is 401622.

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

It is a super-2 number, since 2×22610402 = 10224603763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2261041) 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, 4471 + ... + 4950.

22261040 is an apocalyptic number.

2261040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261040 is an abundant number, since it is smaller than the sum of its proper divisors (4748928).

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

2261040 is a wasteful number, since it uses less digits than its factorization.

2261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2261040 is about 1503.6754969075. The cubic root of 2261040 is about 131.2510385405.

Adding to 2261040 its reverse (401622), we get a palindrome (2662662).

The spelling of 2261040 in words is "two million, two hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9421 18842 28263 37684 47105 56526 75368 94210 113052 141315 150736 188420 226104 282630 376840 452208 565260 753680 1130520 2261040