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2259040 = 25572017
BaseRepresentation
bin1000100111100001100000
311020202211011
420213201200
51034242130
6120230304
725126060
oct10474140
94222734
102259040
111303283
1290b394
13611314
1442b3a0
152e952a
hex227860

2259040 has 48 divisors (see below), whose sum is σ = 6102432. Its totient is φ = 774144.

The previous prime is 2259031. The next prime is 2259041. The reversal of 2259040 is 409522.

It is a happy number.

2259040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259041) 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, 112 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (127134).

22259040 is an apocalyptic number.

2259040 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 2259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051216).

2259040 is an abundant number, since it is smaller than the sum of its proper divisors (3843392).

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

2259040 is a wasteful number, since it uses less digits than its factorization.

2259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2259040 is about 1503.0103126725. The cubic root of 2259040 is about 131.2123278125.

The spelling of 2259040 in words is "two million, two hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2017 4034 8068 10085 14119 16136 20170 28238 32272 40340 56476 64544 70595 80680 112952 141190 161360 225904 282380 322720 451808 564760 1129520 2259040