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2261028 = 2237112447
BaseRepresentation
bin1000101000000000100100
311020212112210
420220000210
51034323103
6120243420
725134630
oct10500044
94225483
102261028
111304820
12910570
136121b3
1442bdc0
152e9e03
hex228024

2261028 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 587040.

The previous prime is 2261023. The next prime is 2261041. The reversal of 2261028 is 8201622.

It is a super-2 number, since 2×22610282 = 10224495233568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2260995 and 2261013.

It is not an unprimeable number, because it can be changed into a prime (2261023) 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 15 ways as a sum of consecutive naturals, for example, 300 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

22261028 is an apocalyptic number.

2261028 is a gapful number since it is divisible by the number (28) 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 2261028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2261028 is an abundant number, since it is smaller than the sum of its proper divisors (4319196).

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

2261028 is a wasteful number, since it uses less digits than its factorization.

2261028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2261028 is about 1503.6715066796. The cubic root of 2261028 is about 131.2508063443.

The spelling of 2261028 in words is "two million, two hundred sixty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2447 4894 7341 9788 14682 17129 26917 29364 34258 51387 53834 68516 80751 102774 107668 161502 188419 205548 323004 376838 565257 753676 1130514 2261028