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2261406 = 237232341
BaseRepresentation
bin1000101000000110011110
311020220001210
420220012132
51034331111
6120245250
725136010
oct10500636
94226053
102261406
111305034
12910826
13612414
1442c1b0
152ea0a6
hex22819e

2261406 has 32 divisors (see below), whose sum is σ = 5395968. Its totient is φ = 617760.

The previous prime is 2261393. The next prime is 2261407. The reversal of 2261406 is 6041622.

It is a happy number.

It is a super-2 number, since 2×22614062 = 10227914193672, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261407) 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, 205 + ... + 2136.

It is an arithmetic number, because the mean of its divisors is an integer number (168624).

22261406 is an apocalyptic number.

2261406 is an abundant number, since it is smaller than the sum of its proper divisors (3134562).

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

2261406 is a wasteful number, since it uses less digits than its factorization.

2261406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2261406 is about 1503.7971937731. The cubic root of 2261406 is about 131.2581201325.

The spelling of 2261406 in words is "two million, two hundred sixty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 2341 4682 7023 14046 16387 32774 49161 53843 98322 107686 161529 323058 376901 753802 1130703 2261406