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2280040 = 235717479
BaseRepresentation
bin1000101100101001101000
311021211121221
420230221220
51040430130
6120511424
725244230
oct10545150
94254557
102280040
111318034
1291b574
1361aa49
14434cc0
1530087a
hex22ca68

2280040 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 734208.

The previous prime is 2280029. The next prime is 2280041. The reversal of 2280040 is 400822.

It is a junction number, because it is equal to n+sod(n) for n = 2279996 and 2280023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4521 + ... + 4999.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22280040 is an apocalyptic number.

2280040 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 2280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2280040 is an abundant number, since it is smaller than the sum of its proper divisors (3940760).

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

2280040 is a wasteful number, since it uses less digits than its factorization.

2280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2280040 is about 1509.9801323196. The cubic root of 2280040 is about 131.6176569897.

Adding to 2280040 its reverse (400822), we get a palindrome (2680862).

The spelling of 2280040 in words is "two million, two hundred eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 479 595 680 952 958 1190 1916 2380 2395 3353 3832 4760 4790 6706 8143 9580 13412 16286 16765 19160 26824 32572 33530 40715 57001 65144 67060 81430 114002 134120 162860 228004 285005 325720 456008 570010 1140020 2280040