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2260840 = 235291949
BaseRepresentation
bin1000100111111101101000
311020212021211
420213331220
51034321330
6120242504
725134241
oct10477550
94225254
102260840
11130466a
12910434
1361209a
1442bcc8
152e9d2a
hex227f68

2260840 has 32 divisors (see below), whose sum is σ = 5265000. Its totient is φ = 872704.

The previous prime is 2260823. The next prime is 2260859. The reversal of 2260840 is 480622.

2260840 = T131 + T132 + ... + T250.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 181476 = 1442^2 + 426^2 .

It is a super-2 number, since 2×22608402 = 10222795011200, which contains 22 as substring.

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, 186 + ... + 2134.

22260840 is an apocalyptic number.

2260840 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 2260840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632500).

2260840 is an abundant number, since it is smaller than the sum of its proper divisors (3004160).

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

2260840 is a wasteful number, since it uses less digits than its factorization.

2260840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2260840 is about 1503.6089917262. The cubic root of 2260840 is about 131.2471684952.

The spelling of 2260840 in words is "two million, two hundred sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1949 3898 7796 9745 15592 19490 38980 56521 77960 113042 226084 282605 452168 565210 1130420 2260840